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?

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(52925) (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.

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