SOLUTION: 1. If matrix A = [2 -4] and matrix B= [-2 5 0] [3 1] [-1 0] a) give the dimensions of A b) give the dimensions of B * the matrix a look

Algebra ->  Matrices-and-determiminant -> SOLUTION: 1. If matrix A = [2 -4] and matrix B= [-2 5 0] [3 1] [-1 0] a) give the dimensions of A b) give the dimensions of B * the matrix a look      Log On


   

Question 389283: 1. If matrix A = [2 -4] and matrix B= [-2 5 0]
[3 1]
[-1 0]
a) give the dimensions of A
b) give the dimensions of B
* the matrix a looks like this (i dont know how to make the big blocks) :
2 -4
3 1
-1 0
in light of the dimensions above,
1.can you multiply A x B?
2.if so, what are the dimensions of the result
3.give the result if possible.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

If I am understanding your question properly



[A]=%28matrix%283%2C2%2C2%2C-4%2C3%2C1%2C-1%2C0%29%29

[B]=%28matrix%281%2C3%2C-2%2C5%2C0%29%29

a) give the dimensions of A:  3x2 ( 3 rows and 2 columns)

b) give the dimensions of B:  1x3 ( 1 rows and 3 columns)



1.can you multiply A x B? Yes (B has the same # of columns as A has rows)

2.if so, what are the dimensions of the result  1x2

3.give the result if possible.

-2*2 + 5*3 + 0*-1 = 11

-2*-4 + 5*1 +0*0  = 13

[B]x[A] = [11 13]