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Let and be non-singular matrices satisfying
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Let
A
A
A
and
B
B
B
be non-singular
2
×
2
2\times 2
2
×
2
matrices satisfying
A
B
=
I
2
AB=I_2
A
B
=
I
2
. Which one of the following statements is necessarily true? (a)
det
B
=
1
\det B = 1
det
B
=
1
(b)
B
A
=
I
2
BA=I_2
B
A
=
I
2
(c)
B
A
BA
B
A
is a singular matrix (d)
B
A
≠
I
2
BA\neq I_2
B
A
=
I
2
Related theory
Matrices
Determinants
Adjoint and inverse
Invertible matrices
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