Question
Mathematics Question on Straight lines
If A and B are two matrices such that A+B and AB are both defined, then
A
(A) A and B can be any matrices
B
(B) A, B are square matrices not necessarily of the same order
C
(C) A, B are square matrices of the same order
D
(D) Number of columns of A = number of rows of B
Answer
(C) A, B are square matrices of the same order
Explanation
Solution
Explanation:
Addition is defined if order of A is equal to order of BA B nxm nxm is defined if m = n⇒ A, B are square matrices of same order