SOLUTION: Suppose A is a 3x6 matrix and B is some other matrix. If we can successfully perform the multiplication AB, then which of the following is a possible set of dimensions for B?

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Question 1199122: Suppose A is a 3x6 matrix and B is some other matrix. If we can successfully perform the multiplication AB, then which of the following is a possible set of dimensions for B?
Only one of the following is correct. Which one is correct?
A) 3x5
B) 3x4
C) 5x6
D) 6x4
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.

For successful multiplication, the number of columns A must be equal to the number of lines B.

The number of column A is 6; so the number of lines B must be 6.

Only option D) satisfies this condition.


Solved and fully explained.