Question
Mathematics Question on Invertible Matrices
Two matrices A and B are multiplicative inverse of each other only if
A
AB=0,BA=I
B
AB=BA=0
C
AB=BA
D
AB=BA=I
Answer
AB=BA=I
Explanation
Solution
A and B are inverses of each other iff AB=BA=I.
Two matrices A and B are multiplicative inverse of each other only if
AB=0,BA=I
AB=BA=0
AB=BA
AB=BA=I
AB=BA=I
A and B are inverses of each other iff AB=BA=I.