® Any square matrix can be represented as the sum of a symmetric and a
skew symmetric matrix ® If A and B are two square matrices such that AB = BA = I, then B is the
inverse matrix of A and is denoted by A–1 and A is the inverse of B ® Inverse of a square matrix, if it exists, is unique —v
v
v
v
v—
1
= 
n
ik
ij
jk
j
c
a b
∑
Rationalised 2023-24
MATRICES         75
NOTES
Rationalised 2023-24
 76
MATHEMATICS
v All Mathematical truths are relative and conditional