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Byju's Answer
Standard XII
Mathematics
Transpose of a Matrix
B is said to ...
Question
B is said to be a skew symmetric matrix, if
A
B
T
=
B
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B
B = 0
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C
B = -B
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D
B
T
=
−
B
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Solution
The correct option is
D
B
T
=
−
B
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Similar questions
Q.
Let A and B are two non-singular square matrices
,
A
T
and
B
T
are the transpose matrices of A and B respectively, then which of the following is correct
Q.
Assertion :The matrix
A
=
⎛
⎜
⎝
0
a
b
−
a
0
c
−
b
−
c
0
⎞
⎟
⎠
is a skew symmetric matrix. Reason: A square matrix
A
=
(
a
i
j
)
of order m is said to be skew symmetric if
A
T
=
−
A
. .
Q.
Assertion
(
A
)
:
The matrix
A
=
⎡
⎢
⎣
0
a
b
−
a
0
c
−
b
−
c
0
⎤
⎥
⎦
is a skew-symmetric matrix.
Reason
(
R
)
:
A square matrix
A
=
a
i
j
of order
m
is said to be skew symmetric if
A
T
=
−
A
.
Q.
Let
A
and
B
be
3
×
3
matrices such that
A
T
=
−
A
,
B
T
=
B
, then matrix
(
λ
A
B
+
3
B
A
)
is a skew symmertric matrix for
Q.
If A and B are symmetric matrices, then ABA is
(a) symmetric matrix
(b) skew-symmetric matrix
(c) diagonal matrix
(d) scalar matrix
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