Question

If A= [0 x+2 2x--3 0] is skew symmetric matrix then find the value of x

Answer 1

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

⎦

⎥

⎥

⎤