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Let and be matrices such that
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Let
P
P
P
and
Q
Q
Q
be
2
×
2
2\times 2
2
×
2
matrices such that
P
Q
=
I
2
PQ=I_2
P
Q
=
I
2
. Which one of the following statements is necessarily true? (a)
Q
P
=
I
2
QP=I_2
QP
=
I
2
(b)
P
Q
=
Q
P
PQ=QP
P
Q
=
QP
(c)
det
(
P
)
=
det
(
Q
)
\det(P)=\det(Q)
det
(
P
)
=
det
(
Q
)
(d)
P
+
Q
=
I
2
P+Q=I_2
P
+
Q
=
I
2
Related theory
Matrix Operations
Matrices
Determinants
Adjoint and inverse
Invertible matrices
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