The inverse of a skew symmetric matrix i...

The inverse of a skew symmetric matrix is

A

a symmetric matrix if it exists

B

a skew symmetric matrix if it exists

C

transpose of the original matrix

D

may not exist

Text Solution

Verified by Experts

The correct Answer is:

B, D

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The inverse of a skew symmetric matrix of odd order is 1)a symmetric matrix 2)a skew symmetric matrix 3)a diagonal matrix 4)does not exist

The inverse of a skew-symmetric matrix of odd order a.is a symmetric matrix b.is a skew- symmetric c.is a diagonal matrix d.does not exist

Knowledge Check

The inverse of a symmetric matrix is a matrix which is

A

diagonal

B

symmetric

C

skew symmetric

D

None of these

The inverse of a symmetric matrix ( if it exists ) is

A

a symmetric matrix

B

a skew -symmetric matrix

C

a diagonal matrix

D

none of these

Trace of a skew symmetric matrix is always equal to

A

`sum a_(ij)`

B

` sum a_(ii)`

C

zero

D

none of these

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Prove that inverse of a skew-symmetric matrix (if it exists) is skew-symmetric.

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. The determinant of a skew symmetric matrix of odd order is

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The determinant of a skew symmetric matrix of odd order is

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