If A and B are matrices such that A + B and BA are both defined, then
A
A, B are square matrices of different order
B
A, B are square matrices of same order
C
A, B are of same order
D
Number of columns of A = number of rows of B
Correct Option:
B
Explanation
For A + B to exist, A and B must have the same dimensions, say m × n. For BA to exist, the number of columns of B, n, must equal the number of rows of A, m. Hence m = n, so both matrices are square and of the same order.
