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EAMCET Engineering 2009 Solved Paper
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© examsnet.com
Question : 95
Total: 160
Let
A
and
B
be two symmetric matrices of same order. Then, the matrix
A
B
−
B
A
is
a symmetric matrix
a skew-symmetric matrix
a null matrix
the identity matrix
Validate
Solution:
Given,
A
=
A
′
,
B
=
B
′
Now,
(
A
B
−
B
A
)
Y
=
(
A
B
)
Y
−
(
B
A
)
Y
=
B
′
A
′
−
A
′
B
′
=
B
A
−
A
B
=
−
(
A
B
−
B
A
)
∴
A
B
−
B
A
is a skew-symmetric matrix.
© examsnet.com
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