SOLUTION: A is a 5 3 matrix, B is an r s matrix and C is a 4 5 matrix. If ATBC is dened, then the size of B is

SOLUTION: A is a 5 3 matrix, B is an r s matrix and C is a 4 5 matrix. If ATBC is dened, then the size of B is

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Question 1163366: A is a 5 3 matrix, B is an r s matrix and C is a 4 5 matrix. If ATBC is dened, then
the size of B is
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I will assume "ATBC" is (A transpose)*(B)*(C).

A is 5x3, so A transpose is 3x5.

So in the multiplication (A transpose)*(B)*(C), the dimensions of the matrices are

{3x5) * (rxs) * (4x5)

For the multiplication to be possible, r must be 5 and s must be 4.

ANSWER: B is a 5x4 matrix.

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