SOLUTION: Find the given element of the matrix product C = AB. A= [5,5,-3,0] [1,-3,0,3] [-2,3,1,5] B= [4,-2,1] [3,1,0] [-2,0,3] [0,-1,1] C23=

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the given element of the matrix product C = AB. A= [5,5,-3,0] [1,-3,0,3] [-2,3,1,5] B= [4,-2,1] [3,1,0] [-2,0,3] [0,-1,1] C23=      Log On


   

Question 628447: Find the given element of the matrix product C = AB.
A=
[5,5,-3,0]
[1,-3,0,3]
[-2,3,1,5]
B=
[4,-2,1]
[3,1,0]
[-2,0,3]
[0,-1,1]
C23=
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
C%5B23%5D would be the element in the second row and third column of C. This element will be the result of multiplying the second row of A:
%28matrix%281%2C+4%2C+1%2C+-3%2C+0%2C3%29%29
times the third column of B:
%28matrix%284%2C+1%2C+1%2C+0%2C+3%2C+1%29%29

So
C%5B23%5D+=+1%2A1+%2B+%28-3%29%2A0+%2B+0%2A3+%2B+3%2A1+=+1+%2B+0+%2B+0+%2B+3+=+4