Question

If A is 3×4 matrix and B is matrix such that A'B and B'A are both defined then B is of the type ??

Answer 1

Answer:

order of A = 3 × 4

Order of A’ = 4 × 3

As ATB and BAT are both defined,

So the number of columns in B should be equal to the number of rows in A’ for BA’ and

also the number of columns in A’ should be equal to the number of rows in A’ for BA’. So the order of matrix B = 3 × 4

so, 3×4