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 (AB)transpose C is defined then? Answer I get that a 4 x 2 matrix transposed is a 2 x 4 matrix but

Algebra ->  Matrices-and-determiminant -> 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 (AB)transpose C is defined then? Answer I get that a 4 x 2 matrix transposed is a 2 x 4 matrix but      Log On


   

Question 843894: suppose A is a 4 x 2 matrix ,B is an r x s matrix and C is a 2 x 4 matrix. If (AB)transpose C is defined then?
Answer
I get that a 4 x 2 matrix transposed is a 2 x 4 matrix but I am not sure how to define or multiply when B is r x s . Please assist and break down so I can work on A transpose BC,(ABC)transpose

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
In general, if A is an matrix, then the product AB is defined only when B is an matrix. The product is an matrix. Use the definition to find the possible sizes of , , and B.