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Suppose and are square matrices of the same order such that
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Suppose
A
A
A
and
B
B
B
are square matrices of the same order such that
A
B
=
I
AB=I
A
B
=
I
. Which one of the following statements is necessarily true? (a)
A
=
B
A=B
A
=
B
(b)
det
(
A
)
=
0
\det(A)=0
det
(
A
)
=
0
(c)
B
A
=
I
BA=I
B
A
=
I
(d)
B
B
B
is singular
Related theory
Matrices
Determinants
Adjoint and inverse
Invertible matrices
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