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Byju's Answer
Standard X
Mathematics
Multiplication of matrices
For two matri...
Question
For two matrices A and B of same order, if AB = A and BA = B then
A
2
is equal to?
A
I (identity matrix)
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B
A
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C
B
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D
ϕ
(
n
u
l
l
m
a
t
i
x
)
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Solution
The correct option is
B
A
A
2
=
A
.
A
=
AB
.
A
(
∵
A
=
AB
)
=
A
.
B
(
∵
BA
=
B
)
=
A
(
∵
AB
=
A
)
option
(
b
)
is
correct