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If and are two matrices such that and
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
If
A
A
A
and
B
B
B
are two matrices such that
A
B
=
B
AB = B
A
B
=
B
and
B
A
=
A
BA = A
B
A
=
A
, then
A
2
+
B
2
A^2 + B^2
A
2
+
B
2
is equal to (1)
2
A
B
2AB
2
A
B
(2)
2
B
A
2BA
2
B
A
(3)
A
+
B
A+B
A
+
B
(4)
A
B
AB
A
B
Related theory
Matrix Operations
Matrices
Properties of matrix operations
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