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If is a square matrix such that
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
A
A
is a square matrix such that
A
2
=
A
A^2=A
A
2
=
A
, then
det
(
A
)
\det(A)
det
(
A
)
is equal to (1)
0
0
0
or
1
1
1
(2)
−
3
-3
−
3
or
3
3
3
(3)
−
2
-2
−
2
or
2
2
2
(4) None of these
Related theory
Determinants
Matrices
Matrix operations
Properties of matrix operations
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