If A= [0 x+2 2x--3 0] is skew symmetric matrix then find the value of x
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Answer:
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Step-by-step explanation:
Given: A=
⎣
⎢
⎢
⎡
0
−1
x
1
0
−3
−1
3
0
⎦
⎥
⎥
⎤
is a skew matrix.
We know that any square matrix A=[a
ji
] is said to be skew symmetric if A
′
=−A, that is [a
ij
]=−[a
ji
] for all possible value of i and j.
A
′
=
⎣
⎢
⎢
⎡
0
1
−1
−1
0
3
x
−3
0
⎦
⎥
⎥
⎤
=−A=
⎣
⎢
⎢
⎡
0
1
−x
−1
0
3
1
−3
0
⎦
⎥
⎥
⎤
On comparing, we get x=1
Therefore, the value of x will be 1.
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SIMILAR QUESTIONS
star-struck
If the matrix A=
⎣
⎢
⎢
⎡
0
2
b
a
0
1
−3
−1
0
⎦
⎥
⎥
⎤
is skew symmetric, find the values of 'a' and 'b'.
Easy
View solution
>
If P=
⎣
⎢
⎢
⎡
0
x
2
4
0
−8
−2
−y
0
⎦
⎥
⎥
⎤
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