compute the indicated matrices (ifpossible). D BC
Math 1315-003 1.1Real Numbers Shelley Hamilton 1.1 Real Numbers: Real numbers are: 1,2,3,4 Whole Numbers are: 0,1,2,3,4 Rational Numbers are: where numbers can be written in the form p/q. But q cannot be equal to zero. So if q is a zero then it is not a rational number. Irrational numbers: all numbers that is not rational. Ex. Pie is irrational. Properties of real numbers: Commutative Prop.: a+b=b+a and ab=ba it doesn’t matter how you switch it, you will still get the same answers. Ex. 1+2=3 same as 2+1=3 and 5*6=30 same as 6*5=30. Associate Prop.: (a+b) +c = a+(b+c) and (ab)c = a(bc) Remember that the order of the numbers stays the same. Just the parentheses move. Ex. 4+(9+8) = (4+9) +8 and 3(9x^2) = (3*9) x^2. Identity Prop.: a+0=a and 0+a=a. Identity Prop only has to do with either 0 or 1. There are two different types of identity prop. There is a multiply and addition. And you will usually get the same answer from with what you started with. Ex. 8+0= 8 and (9) *1= 9 Inverse Prop.: a+(a) =0 and (a) +a=0 there are two different types of inverse prop. There is an addition and multiply. Ex. 9+(9) =0. 8*(1/8) =1. 15+15=0. It is also like cancelling it out. Multiplicative Inverse: a*1/a=1 and 1/a*a=1 just like inverse prop. You are basically just cancelling it out. Distributive Prop.: a(b+c) = ab+bc and (b+c