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Which one of the following statements about the identity matrix is always true for…
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Which one of the following statements about the identity matrix
I
n
I_n
I
n
is always true for every square matrix
A
A
A
of order
n
n
n
? (a)
I
n
A
=
I
n
I_nA = I_n
I
n
A
=
I
n
(b)
I
n
A
=
A
I_nA = A
I
n
A
=
A
(c)
det
(
I
n
)
=
n
\det(I_n)=n
det
(
I
n
)
=
n
(d)
I
n
I_n
I
n
is invertible only when
n
=
1
n=1
n
=
1
Related theory
Matrices
Properties of matrix operations
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