.lst-kix_nhbgt3c7wrc-2 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-2}.lst-kix_ovm4ske2q7xl-8 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-8}ol.lst-kix_ovm4ske2q7xl-6.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-6 0}ol.lst-kix_vsqlnfl3pf5a-0{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-8{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-1{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-2{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-7.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-7 0}ol.lst-kix_vsqlnfl3pf5a-3{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-4{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-5{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-6{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-7{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-8{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-4.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-4 0}.lst-kix_h0xrjgy43eeb-7 > li:before{content:"(" counter(lst-ctn-kix_h0xrjgy43eeb-7,lower-latin) ") "}.lst-kix_h0xrjgy43eeb-8 > li:before{content:"(" counter(lst-ctn-kix_h0xrjgy43eeb-8,lower-roman) ") "}.lst-kix_h0xrjgy43eeb-6 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-6}ol.lst-kix_ovm4ske2q7xl-1.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-1 0}ul.lst-kix_g3o9v5uf1ugv-2{list-style-type:none}ol.lst-kix_h0xrjgy43eeb-6.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-6 0}ul.lst-kix_g3o9v5uf1ugv-3{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-0{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-1{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-6{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-7{list-style-type:none}ul.lst-kix_g3o9v5uf1ugv-4{list-style-type:none}ol.lst-kix_nhbgt3c7wrc-4.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-4 0}ul.lst-kix_g3o9v5uf1ugv-5{list-style-type:none}ul.lst-kix_4ybtgz69zry9-3{list-style-type:none}ul.lst-kix_no6bfdtry1mg-5{list-style-type:none}ul.lst-kix_4ybtgz69zry9-2{list-style-type:none}.lst-kix_nhbgt3c7wrc-0 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-0}ul.lst-kix_no6bfdtry1mg-4{list-style-type:none}ul.lst-kix_4ybtgz69zry9-1{list-style-type:none}ul.lst-kix_no6bfdtry1mg-3{list-style-type:none}ul.lst-kix_4ybtgz69zry9-0{list-style-type:none}ul.lst-kix_no6bfdtry1mg-2{list-style-type:none}ul.lst-kix_no6bfdtry1mg-1{list-style-type:none}ul.lst-kix_no6bfdtry1mg-0{list-style-type:none}ul.lst-kix_4ybtgz69zry9-8{list-style-type:none}ul.lst-kix_4ybtgz69zry9-7{list-style-type:none}ul.lst-kix_4ybtgz69zry9-6{list-style-type:none}ul.lst-kix_4ybtgz69zry9-5{list-style-type:none}ul.lst-kix_4ybtgz69zry9-4{list-style-type:none}.lst-kix_bjj9g5xqrip-7 > li:before{content:"- "}ul.lst-kix_no6bfdtry1mg-8{list-style-type:none}ul.lst-kix_no6bfdtry1mg-7{list-style-type:none}.lst-kix_bjj9g5xqrip-8 > li:before{content:"- "}ul.lst-kix_no6bfdtry1mg-6{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-2.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-2 0}ol.lst-kix_ujreyz9hq5ez-1.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-1 0}ol.lst-kix_ovm4ske2q7xl-0.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-0 0}.lst-kix_3rc4negld4rz-8 > li:before{content:"- "}.lst-kix_ovm4ske2q7xl-7 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-7,lower-latin) ". "}.lst-kix_3rc4negld4rz-5 > li:before{content:"- "}.lst-kix_3rc4negld4rz-6 > li:before{content:"- "}.lst-kix_ovm4ske2q7xl-6 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-6,decimal) ". "}.lst-kix_ovm4ske2q7xl-8 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-8,lower-roman) ". "}.lst-kix_3rc4negld4rz-3 > li:before{content:"- "}.lst-kix_3rc4negld4rz-7 > li:before{content:"- "}.lst-kix_3rc4negld4rz-4 > li:before{content:"- "}ol.lst-kix_ujreyz9hq5ez-8.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-8 0}.lst-kix_ujreyz9hq5ez-0 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-0}.lst-kix_h0xrjgy43eeb-2 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-2}.lst-kix_3rc4negld4rz-1 > li:before{content:"- "}.lst-kix_3rc4negld4rz-2 > li:before{content:"- "}.lst-kix_vsqlnfl3pf5a-3 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-3}.lst-kix_3rc4negld4rz-0 > li:before{content:"- "}.lst-kix_h0xrjgy43eeb-8 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-8}.lst-kix_vsqlnfl3pf5a-6 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-6}.lst-kix_4ybtgz69zry9-6 > li:before{content:"- "}.lst-kix_4ybtgz69zry9-8 > li:before{content:"- "}ol.lst-kix_h0xrjgy43eeb-2.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-2 0}ol.lst-kix_ovm4ske2q7xl-2.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-2 0}.lst-kix_4ybtgz69zry9-4 > li:before{content:"- "}.lst-kix_ujreyz9hq5ez-5 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-5}.lst-kix_h0xrjgy43eeb-1 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-1}ol.lst-kix_nhbgt3c7wrc-0.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-0 0}.lst-kix_ovm4ske2q7xl-2 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-2}.lst-kix_4ybtgz69zry9-0 > li:before{content:"- "}ol.lst-kix_ovm4ske2q7xl-5.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-5 0}.lst-kix_ujreyz9hq5ez-4 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-4}.lst-kix_ovm4ske2q7xl-3 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-3,decimal) ". "}.lst-kix_4ybtgz69zry9-2 > li:before{content:"- "}.lst-kix_ovm4ske2q7xl-5 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-5,lower-roman) ". "}.lst-kix_nhbgt3c7wrc-8 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-8}ul.lst-kix_yxnfsadsxk5v-0{list-style-type:none}.lst-kix_ovm4ske2q7xl-4 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-4}ul.lst-kix_yxnfsadsxk5v-6{list-style-type:none}ul.lst-kix_yxnfsadsxk5v-5{list-style-type:none}ul.lst-kix_yxnfsadsxk5v-8{list-style-type:none}.lst-kix_bjj9g5xqrip-1 > li:before{content:"- "}ul.lst-kix_yxnfsadsxk5v-7{list-style-type:none}.lst-kix_ovm4ske2q7xl-1 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-1,lower-latin) ". "}ul.lst-kix_yxnfsadsxk5v-2{list-style-type:none}ul.lst-kix_yxnfsadsxk5v-1{list-style-type:none}ul.lst-kix_yxnfsadsxk5v-4{list-style-type:none}.lst-kix_vsqlnfl3pf5a-2 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-2}ol.lst-kix_vsqlnfl3pf5a-6.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-6 0}ul.lst-kix_yxnfsadsxk5v-3{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-8{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-6{list-style-type:none}.lst-kix_bjj9g5xqrip-5 > li:before{content:"- "}ol.lst-kix_ovm4ske2q7xl-7{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-4{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-5{list-style-type:none}.lst-kix_nhbgt3c7wrc-6 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-6}ol.lst-kix_ovm4ske2q7xl-2{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-3{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-0{list-style-type:none}ol.lst-kix_ovm4ske2q7xl-1{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-3.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-3 0}ol.lst-kix_ujreyz9hq5ez-0.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-0 0}.lst-kix_bjj9g5xqrip-3 > li:before{content:"- "}.lst-kix_vsqlnfl3pf5a-7 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-7}.lst-kix_vsqlnfl3pf5a-1 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-1}ol.lst-kix_h0xrjgy43eeb-0.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-0 0}.lst-kix_no6bfdtry1mg-3 > li:before{content:"- "}ol.lst-kix_ujreyz9hq5ez-8{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-7{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-6{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-5{list-style-type:none}.lst-kix_nhbgt3c7wrc-1 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-1,lower-latin) ". "}ol.lst-kix_ujreyz9hq5ez-4{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-3{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-2{list-style-type:none}ol.lst-kix_ujreyz9hq5ez-1{list-style-type:none}.lst-kix_nhbgt3c7wrc-3 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-3,decimal) ". "}ol.lst-kix_ujreyz9hq5ez-0{list-style-type:none}.lst-kix_vsqlnfl3pf5a-8 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-8}.lst-kix_no6bfdtry1mg-5 > li:before{content:"- "}.lst-kix_nhbgt3c7wrc-5 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-5,lower-roman) ". "}.lst-kix_ujreyz9hq5ez-0 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-0,decimal) ". "}.lst-kix_no6bfdtry1mg-7 > li:before{content:"- "}ol.lst-kix_ovm4ske2q7xl-3.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-3 0}.lst-kix_h0xrjgy43eeb-0 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-0}ol.lst-kix_h0xrjgy43eeb-1.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-1 0}.lst-kix_ujreyz9hq5ez-2 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-2,lower-roman) ". "}.lst-kix_ujreyz9hq5ez-4 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-4,lower-latin) ". "}.lst-kix_h0xrjgy43eeb-6 > li:before{content:"(" counter(lst-ctn-kix_h0xrjgy43eeb-6,lower-roman) ") "}.lst-kix_nhbgt3c7wrc-1 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-1}.lst-kix_yxnfsadsxk5v-6 > li:before{content:"- "}.lst-kix_nhbgt3c7wrc-7 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-7}.lst-kix_yxnfsadsxk5v-4 > li:before{content:"- "}.lst-kix_ujreyz9hq5ez-6 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-6,decimal) ". "}.lst-kix_h0xrjgy43eeb-2 > li:before{content:"" counter(lst-ctn-kix_h0xrjgy43eeb-2,decimal) ". "}.lst-kix_h0xrjgy43eeb-4 > li:before{content:"(" counter(lst-ctn-kix_h0xrjgy43eeb-4,decimal) ") "}.lst-kix_ovm4ske2q7xl-3 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-3}.lst-kix_yxnfsadsxk5v-0 > li:before{content:"- "}.lst-kix_h0xrjgy43eeb-0 > li:before{content:"" counter(lst-ctn-kix_h0xrjgy43eeb-0,upper-roman) ". "}.lst-kix_yxnfsadsxk5v-2 > li:before{content:"- "}ol.lst-kix_vsqlnfl3pf5a-5.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-5 0}.lst-kix_ujreyz9hq5ez-8 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-8,lower-roman) ". "}ol.lst-kix_vsqlnfl3pf5a-7.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-7 0}.lst-kix_h0xrjgy43eeb-7 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-7}.lst-kix_g3o9v5uf1ugv-6 > li:before{content:"- "}.lst-kix_g3o9v5uf1ugv-7 > li:before{content:"- "}.lst-kix_g3o9v5uf1ugv-8 > li:before{content:"- "}ol.lst-kix_ujreyz9hq5ez-4.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-4 0}.lst-kix_yxnfsadsxk5v-8 > li:before{content:"- "}.lst-kix_nhbgt3c7wrc-7 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-7,lower-latin) ". "}.lst-kix_ovm4ske2q7xl-7 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-7}.lst-kix_nhbgt3c7wrc-8 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-8,lower-roman) ". "}.lst-kix_no6bfdtry1mg-1 > li:before{content:"- "}.lst-kix_nhbgt3c7wrc-3 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-3}.lst-kix_vsqlnfl3pf5a-4 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-4,lower-latin) ". "}.lst-kix_vsqlnfl3pf5a-5 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-5,lower-roman) ". "}.lst-kix_g3o9v5uf1ugv-4 > li:before{content:"- "}.lst-kix_g3o9v5uf1ugv-5 > li:before{content:"- "}.lst-kix_no6bfdtry1mg-0 > li:before{content:"- "}.lst-kix_no6bfdtry1mg-2 > li:before{content:"- "}.lst-kix_vsqlnfl3pf5a-3 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-3,decimal) ". "}.lst-kix_g3o9v5uf1ugv-3 > li:before{content:"- "}ol.lst-kix_nhbgt3c7wrc-7.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-7 0}ol.lst-kix_ovm4ske2q7xl-4.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-4 0}.lst-kix_vsqlnfl3pf5a-0 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-0,decimal) ". "}.lst-kix_vsqlnfl3pf5a-1 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-1,lower-latin) ". "}.lst-kix_g3o9v5uf1ugv-0 > li:before{content:"- "}.lst-kix_g3o9v5uf1ugv-1 > li:before{content:"- "}.lst-kix_vsqlnfl3pf5a-2 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-2,lower-roman) ". "}.lst-kix_g3o9v5uf1ugv-2 > li:before{content:"- "}ol.lst-kix_vsqlnfl3pf5a-2.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-2 0}ul.lst-kix_3rc4negld4rz-8{list-style-type:none}.lst-kix_ovm4ske2q7xl-5 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-5}.lst-kix_nhbgt3c7wrc-5 > li{counter-increment:lst-ctn-kix_nhbgt3c7wrc-5}ul.lst-kix_3rc4negld4rz-7{list-style-type:none}ul.lst-kix_3rc4negld4rz-6{list-style-type:none}ul.lst-kix_3rc4negld4rz-5{list-style-type:none}ul.lst-kix_3rc4negld4rz-4{list-style-type:none}ul.lst-kix_3rc4negld4rz-3{list-style-type:none}ul.lst-kix_3rc4negld4rz-2{list-style-type:none}ul.lst-kix_3rc4negld4rz-1{list-style-type:none}ul.lst-kix_3rc4negld4rz-0{list-style-type:none}.lst-kix_vsqlnfl3pf5a-6 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-6,decimal) ". "}ul.lst-kix_bjj9g5xqrip-8{list-style-type:none}ol.lst-kix_nhbgt3c7wrc-8.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-8 0}ul.lst-kix_bjj9g5xqrip-7{list-style-type:none}ul.lst-kix_bjj9g5xqrip-6{list-style-type:none}.lst-kix_vsqlnfl3pf5a-7 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-7,lower-latin) ". "}ul.lst-kix_bjj9g5xqrip-1{list-style-type:none}ol.lst-kix_nhbgt3c7wrc-1.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-1 0}ul.lst-kix_bjj9g5xqrip-0{list-style-type:none}.lst-kix_vsqlnfl3pf5a-8 > li:before{content:"" counter(lst-ctn-kix_vsqlnfl3pf5a-8,lower-roman) ". "}ol.lst-kix_h0xrjgy43eeb-3.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-3 0}ul.lst-kix_bjj9g5xqrip-5{list-style-type:none}ul.lst-kix_bjj9g5xqrip-4{list-style-type:none}ul.lst-kix_bjj9g5xqrip-3{list-style-type:none}ul.lst-kix_bjj9g5xqrip-2{list-style-type:none}ol.lst-kix_vsqlnfl3pf5a-1.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-1 0}.lst-kix_vsqlnfl3pf5a-0 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-0}ol.lst-kix_h0xrjgy43eeb-4.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-4 0}.lst-kix_ujreyz9hq5ez-3 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-3}.lst-kix_h0xrjgy43eeb-5 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-5}ol.lst-kix_nhbgt3c7wrc-2.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-2 0}.lst-kix_ujreyz9hq5ez-6 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-6}ol.lst-kix_vsqlnfl3pf5a-8.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-8 0}.lst-kix_4ybtgz69zry9-7 > li:before{content:"- "}.lst-kix_vsqlnfl3pf5a-4 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-4}.lst-kix_4ybtgz69zry9-5 > li:before{content:"- "}ol.lst-kix_nhbgt3c7wrc-3.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-3 0}ol.lst-kix_h0xrjgy43eeb-5.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-5 0}.lst-kix_4ybtgz69zry9-3 > li:before{content:"- "}.lst-kix_ovm4ske2q7xl-4 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-4,lower-latin) ". "}ol.lst-kix_nhbgt3c7wrc-6.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-6 0}.lst-kix_4ybtgz69zry9-1 > li:before{content:"- "}ol.lst-kix_h0xrjgy43eeb-8.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-8 0}.lst-kix_h0xrjgy43eeb-3 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-3}.lst-kix_ovm4ske2q7xl-1 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-1}.lst-kix_ovm4ske2q7xl-2 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-2,lower-roman) ". "}.lst-kix_vsqlnfl3pf5a-5 > li{counter-increment:lst-ctn-kix_vsqlnfl3pf5a-5}ol.lst-kix_ujreyz9hq5ez-6.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-6 0}.lst-kix_bjj9g5xqrip-0 > li:before{content:"- "}.lst-kix_ovm4ske2q7xl-0 > li:before{content:"" counter(lst-ctn-kix_ovm4ske2q7xl-0,decimal) ". "}ol.lst-kix_ujreyz9hq5ez-3.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-3 0}.lst-kix_bjj9g5xqrip-2 > li:before{content:"- "}.lst-kix_bjj9g5xqrip-6 > li:before{content:"- "}ol.lst-kix_ovm4ske2q7xl-7.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-7 0}ol.lst-kix_vsqlnfl3pf5a-0.start{counter-reset:lst-ctn-kix_vsqlnfl3pf5a-0 0}.lst-kix_bjj9g5xqrip-4 > li:before{content:"- "}.lst-kix_no6bfdtry1mg-8 > li:before{content:"- "}ol.lst-kix_nhbgt3c7wrc-5.start{counter-reset:lst-ctn-kix_nhbgt3c7wrc-5 0}.lst-kix_ujreyz9hq5ez-8 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-8}ol.lst-kix_h0xrjgy43eeb-7.start{counter-reset:lst-ctn-kix_h0xrjgy43eeb-7 0}ol.lst-kix_ujreyz9hq5ez-5.start{counter-reset:lst-ctn-kix_ujreyz9hq5ez-5 0}.lst-kix_no6bfdtry1mg-4 > li:before{content:"- "}.lst-kix_nhbgt3c7wrc-0 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-0,decimal) ". "}.lst-kix_ujreyz9hq5ez-2 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-2}.lst-kix_h0xrjgy43eeb-4 > li{counter-increment:lst-ctn-kix_h0xrjgy43eeb-4}.lst-kix_ujreyz9hq5ez-7 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-7}.lst-kix_nhbgt3c7wrc-2 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-2,lower-roman) ". "}.lst-kix_ujreyz9hq5ez-1 > li{counter-increment:lst-ctn-kix_ujreyz9hq5ez-1}.lst-kix_nhbgt3c7wrc-6 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-6,decimal) ". "}.lst-kix_no6bfdtry1mg-6 > li:before{content:"- "}.lst-kix_ujreyz9hq5ez-1 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-1,lower-latin) ". "}.lst-kix_nhbgt3c7wrc-4 > li:before{content:"" counter(lst-ctn-kix_nhbgt3c7wrc-4,lower-latin) ". "}ol.lst-kix_ovm4ske2q7xl-8.start{counter-reset:lst-ctn-kix_ovm4ske2q7xl-8 0}ol.lst-kix_nhbgt3c7wrc-2{list-style-type:none}.lst-kix_ujreyz9hq5ez-3 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-3,decimal) ". 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"}ol.lst-kix_nhbgt3c7wrc-5{list-style-type:none}ol.lst-kix_nhbgt3c7wrc-8{list-style-type:none}ol.lst-kix_nhbgt3c7wrc-7{list-style-type:none}.lst-kix_ovm4ske2q7xl-6 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-6}ol.lst-kix_h0xrjgy43eeb-0{list-style-type:none}ol.lst-kix_h0xrjgy43eeb-1{list-style-type:none}.lst-kix_h0xrjgy43eeb-1 > li:before{content:"" counter(lst-ctn-kix_h0xrjgy43eeb-1,upper-latin) ". "}ol.lst-kix_h0xrjgy43eeb-2{list-style-type:none}ol.lst-kix_h0xrjgy43eeb-3{list-style-type:none}.lst-kix_yxnfsadsxk5v-1 > li:before{content:"- "}ol.lst-kix_h0xrjgy43eeb-4{list-style-type:none}.lst-kix_ovm4ske2q7xl-0 > li{counter-increment:lst-ctn-kix_ovm4ske2q7xl-0}ol.lst-kix_h0xrjgy43eeb-5{list-style-type:none}.lst-kix_ujreyz9hq5ez-7 > li:before{content:"" counter(lst-ctn-kix_ujreyz9hq5ez-7,lower-latin) ". "}ol.lst-kix_h0xrjgy43eeb-6{list-style-type:none}ol.lst-kix_h0xrjgy43eeb-7{list-style-type:none}ol.lst-kix_h0xrjgy43eeb-8{list-style-type:none}
Math 240 test number 2 - La Salle UniversityDon't forget about the age old question of Who are the key resources in business?
Section 2.1: Systems of linear equations
3 Row Operations: Gaussian Elimination
- Multiply any row by a nonzero number to create pivots
- Add any multiple of one row to another row to create zeros
- Switch any two rows
Augmented matrix [A|B]If you want to learn more check out What is the meaning of strategos?
Coefficient matrix Ax = BIf you want to learn more check out What kinds of issues can elasticity help us understand?

Number of solutions to a system:
- A single solution↘
- Infinite solutions → consistent system
- No solutions - inconsistent
If a column is not a pivot, its variable ERDon't forget about the age old question of What are the 4 major fields of anthropology?
Dependent variables = pivotsIf you want to learn more check out What does the proportion of income mean?
independent variables = no pivots
For inconsistent systems, the final augmented matrix always contains at least one row:We also discuss several other topics like What do you call the isomers with the same formula but different connectivity of atoms?
[0 0,.. 0 | C] C
0
Of c = 0, ignore row and solve and solve system using back substitution
Solution set = {( ) | C E R}
Number 11 (a)T (c)F (e)T (g)F
(b)F (d)F (f)T
Section 2.2: Reduced Row Echelon Form
Row Echelon Form = staircase pattern of pivots
Gauss - Jordan Method
- Zero out entries above each pivot as well
- Fewer non zero numbers in final augmented matrix so solution set is more apparent
Reduced Row Echelon Form
- 1rst non zero number in each row is a 1
- Each successive row has its 1rst non zero number in a later column
- All entries above and below pivots are zero
- All full rows of zeros are in final rows
Homogeneous System: AX = 0 ← zero matrix
- Augmented matrix [A | 0]
- Never inconsistent, always consistent
- Has 1 solution (trivial solutions) or infinite solutions (non trivial)
CORR 2.3 if a system of “m” equations and “n” unknowns is homogeneous and m < n, then there is an infinite number of solutions
- “Zero” solutions never occurs
Application: balancing chemical equations
- Empirical formula → coulis each element and created an augmented matrix solving several systems simultaneously
- Augmented matrix [A | BC]
Number 14 (a)T (c)F (e)F
(b)T (d)T (f)F
Section 2.3: Equivalent Systems
Two systems of “m” linear equations in “n” variables are equivalent if they have exactly the same solution set
A matrix C is row equivalent to a matrix D if D is obtained from C by a finite number of row operations, type (I), (II), and (III)
- Every operation has a reversal
- <i> ← c <i> <i> ←
<i>
- <i> ← c <i> + <j> <j> ← -c<i> + <j>
- <i> ↔ <i> <i> ↔ <j>
THM 2.4 (RE) = row equivalent
Let C,D,E be matrices of same size
- C (RE) D, so D (RE) C
- If C (RE) D and D (RE) E, then C (RE) E
THM 2.5 if Ax = B is a system of linear equations and if [A | B] is row equivalent to [C,D] then Cx = D is equivalent to Ax = B
- Some solutions; justification for rref
THM 2.6 Every matrix is row equivalent to a unique rref matrix
Rank of matrix = number of pivot in the rref of the matrix
THM 2.7
If rank (A) < n = infinite solutions