SOLUTION: suppose A is a 4 x 2 matrix ,B is an r x s matrix and C is a 2 x 4 matrix. If (ABC)transpose is defined ,then the size of (ABC)transpose is?

SOLUTION: suppose A is a 4 x 2 matrix ,B is an r x s matrix and C is a 2 x 4 matrix. If (ABC)transpose is defined ,then the size of (ABC)transpose is?

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Question 843910: suppose A is a 4 x 2 matrix ,B is an r x s matrix and C is a 2 x 4 matrix. If (ABC)transpose is defined ,then the size of (ABC)transpose is?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To matrix multiply B and C, s must be 2, and BC is a rx4 or 2x4.
To matrix multiply A and BC, r must equal 2, so ABC is 4x4 matrix.
The transpose of ABC would also be 4x4.
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