If A is a matrix of order 2X3 and B is a matrix of order 3X5 , what is the order of the matrix (AB)T .

5x2

  • 4

Transpose of only square matrix is possible not of the order 2x5!

  • -3

We have,

Multiplication of matrix [A]mxn and matrix [B]pxq is possible if n=p and we get the matrix [AB]mxq, therefore [AB]Tqxm.

So here, we have,
[A]2x3 and [B]3x5,Since n=p=3, multiplication is possible and therefore [AB]T5x2.
 
  • 10
if a and b are symmetric matrices then what type ofmatrix is (AB-BA)
 
  • 4
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