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Linear Algebra

by: Edgar Jacobi

Linear Algebra MATH 590

Marketplace > Kansas > Mathematics (M) > MATH 590 > Linear Algebra
Edgar Jacobi
GPA 3.6


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Class Notes
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This 3 page Class Notes was uploaded by Edgar Jacobi on Monday September 7, 2015. The Class Notes belongs to MATH 590 at Kansas taught by Staff in Fall. Since its upload, it has received 16 views. For similar materials see /class/182394/math-590-kansas in Mathematics (M) at Kansas.


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Date Created: 09/07/15
Matrices on the Graphing Calculator Entering a Matrix with the TI83 or TI83Plus matrix editor To enter a matrix on the TI 83 press On the TI 83 Plus go t MATRX ED 1 T and select the matrix you would like to edit Enter the number of rows then columns in your matrix Press and you will be able to enter the numerical entries into the matrix To retrieve your matrix on the Home Screen go to MATRX NAMES and select the matrix you have just entered Entering a Matrix from the home screen Although you can enter a matrix on the TI 83 Plus or TI 89 or other TI calculators using the matrix editor you may nd it more convenient to enter it on the home screen To Enter the matrix 2 3 1 1 1 1 1 3 3 4 2 4 type the following sequence 2311 1113 3424 Press and you will see your 1 matrix in the home screen Notice that the brackets enclose the rows of the matrix To input 2 you would enter 1 2 To store this matrix with a variable name press the store key and name the matrix For example on the TI 83 you will choose a name from the matrix name menu 2311 1113M 3424 or on the TI 89 you name the matrix with the alphanumeric keys 2 1 3 AgtHOO l l 13 a1 2 4 Elementary Row Operations 1 To interchange 2 rows TI 89 Math Matrix Row ops rowaap TI 83 Plus Matrx math rowaap To swap row 1 withrow 2in our matrix above enter rowaap a1 1 2 or rowaap A 1 2 ie rowaapmatrix name row number row number 2 To multiply a row by a scalar Tl 89 Use command mRow Tl 83 Plus Use command row To multiply row 1 by 2 enter mRow 72 a1 l or row 72 A l ie mRowscalar matrix name row number D To multiply a row by a scalar and add to another row Tl 89 Use command mRowAdd Tl 83 Plus Use command row To multiply row 1 by 2 add it to row 2 and store the result in row 2 enter mRowAdd 72 a l l 2 or row 72 A l 2 ie mRowAddscalar matrix name row to be multiplied row to be added to and stored in Using These Operations to Find Equivalent Matrices Note this is shown using the Tl 89 notation You would do the operations similarly on the Tl 83 or 83 Plus all2 75 1 First swap rows 1 and 2 rowaa E H H WHM qgtgtaco DHH gt4gtOOH Notice that it is stored in a different variable It is a good idea to keep a copy of the original matrix stored in one name and all the equivalent matrices in another in case you make a mistake and have to start over 2 Add 2 times row 1 to row 2 and put it in row 2 mRowAdd 72 a2 l 2 1113 1113 a22311727quot1r2gt7quot2gt017175 a2 3424 3424 3 Add 3 times row 1 to row 3 and put in row 3 mRowAdd 73 a2 1 3 1 1 13 1 1 1 3 a2 2 31173r1r3arg 01 i1 75 a2 3 4 2 4 01 71 75 4 Add 1 times row 2to row 3 and put in row 3 mRowAdd 71 a2 2 3 1 1 13 1 1 1 3 a2 2 31171r2r3arg 017175 12 3 4 2 4 0 0 0 0 Shortcuts 1 re f a1 puts the matrix al in row echelon form 1 1 1 3 ref a1 0 1 71 75 0 0 0 0 2 rre f a1 puts the matrix al in reduced row echelon form 1 0 2 8 rrefa1 0 1 71 75 0 0 0 0


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