Let A be a skew-symmetric matrix of even...

Let A be a skew-symmetric matrix of even order, then `absA`

A

is a square

B

is not a square

C

is always zero

D

none of these

Text Solution

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The correct Answer is:

A

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Knowledge Check

If A be a skew symmetric matrix of even order then |A| is equal to

A

perfect square

B

0

C

not a perfect square

D

None of these

STATEMENT -1 All positive odd integral powers of a skew - symmetric matrix are symmetric. STATEMENT-2 : All positive even integral powers of a skew - symmetric matrix are symmetric. STATEMENT-3 If A is a skew - symmetric matrix of even order then |A| is perfect square

A

F T T

B

T T T

C

T F T

D

T T F

If A is a skew-symmetric matrix of order 3, then |A|=

A

0

B

1

C

3

D

Data insufficient

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