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Byju's Answer
Standard XII
Mathematics
Symmetric Matrix
If A=[ 0 a...
Question
If
A
=
⎡
⎢
⎣
0
a
+
1
b
−
2
2
a
−
1
0
c
−
2
2
b
+
1
2
+
c
0
⎤
⎥
⎦
is skew symmetric then
a
+
b
+
c
=
A
3
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B
−
3
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C
1
3
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D
−
1
3
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Solution
The correct option is
D
1
3
A
T
+
A
=
0
⟹
a
+
1
+
2
a
−
1
=
0
;
b
−
2
+
2
b
+
1
=
0
;
c
+
2
+
c
−
2
=
0
⟹
a
=
c
=
0
,
b
=
1
3
⟹
a
+
b
+
c
=
1
3
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0
Similar questions
Q.
If matrix
A
=
⎡
⎢
⎣
0
1
−
1
4
−
3
4
3
−
3
4
⎤
⎥
⎦
, can be written as
B
+
C
where B is symmetric matrix and C is skew-symmetric matrix, then
B
−
C
is equal to
Q.
If matrix
A
=
⎡
⎢
⎣
0
1
−
1
4
−
3
4
3
−
3
4
⎤
⎥
⎦
=
B
+
C
, where
B
is symmetric matrix and
C
is skew-symmetric matrix.
Then the matrices
B
and
C
are:
Q.
Matrix A is expressed as A = B + C where B and C are respectively symmetric & skew symmetric matrix then matrix B is
Given
A
=
⎡
⎢
⎣
1
3
2
2
4
1
3
1
5
⎤
⎥
⎦
Q.
If the matrix
⎡
⎢
⎣
a
2
−
3
b
0
4
c
−
4
0
⎤
⎥
⎦
is skew-symmetric, then
a
+
b
+
c
=
____
Q.
If the matrix
A
=
⎡
⎢
⎣
0
a
−
3
2
0
−
1
b
1
0
⎤
⎥
⎦
is skew-symmetric, then:
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