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Mathematics
Mathematics
Problem
If
A
A
A
and
B
B
B
are two non-zero
n
×
n
n \times n
n
×
n
matrices such that
A
2
+
B
=
A
2
B
A^2 + B = A^2B
A
2
+
B
=
A
2
B
, then (a)
A
2
=
I
A^2 = I
A
2
=
I
or
B
=
I
B = I
B
=
I
(b)
A
2
B
=
B
A
2
A^2B = BA^2
A
2
B
=
B
A
2
(c)
A
B
=
I
AB = I
A
B
=
I
(d)
A
2
B
=
I
A^2B = I
A
2
B
=
I
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