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For any square matrix of order
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
For any square matrix
A
A
A
of order
n
n
n
, which one of the following statements is always true? (a)
A
adj
A
=
I
n
A\,\text{adj}\,A = I_n
A
adj
A
=
I
n
(b)
adj
A
=
∣
A
∣
A
−
1
\text{adj}\,A = |A|\,A^{-1}
adj
A
=
∣
A
∣
A
−
1
(c)
A
adj
A
=
∣
A
∣
I
n
A\,\text{adj}\,A = |A|\,I_n
A
adj
A
=
∣
A
∣
I
n
(d)
A
adj
A
=
∣
A
∣
A
A\,\text{adj}\,A = |A|\,A
A
adj
A
=
∣
A
∣
A
Related theory
Matrices
Matrix operations
Properties of matrix operations
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