Question
Mathematics Question on Matrices
Matrices A and B will be inverse of each other only if
A
AB = BA
B
AB = BA = 0
C
AB = 0, BA = I
D
AB = BA = I
Answer
AB = BA = I
Explanation
Solution
We know that if A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is said to be the inverse of A.
In this case, it is clear that A is the inverse of B.
Thus, matrices A and B will be inverses of each other only if AB = BA = I.