Define symmetric and skew symmetric matr...

Define symmetric and skew symmetric matrix and give an example to each.

Text Solution

Verified by Experts

The correct Answer is:

IT is denoted by Tr(A)

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Knowledge Check

P+Q=((2,3,5),(4,1,2),(1,2,1)),P is symmetric, Q is a skew symmetric matrix then Q =

A

`((0,(-1)/(2),2),(1/2,0,0),(-2,0,0))`

B

`((0,(1)/(2),1),(-1/2,0,0),(-1,0,0))`

C

`((0,1,0),(-1,0,1),(0,-1,0))`

D

`((0,2,3),(-2,0,4),(-3,-4,0))`

If A is a skew symmetric matrix, then trace of A is

A

1

B

-1

C

0

D

None

The inverse of a skew symmetric matrix of odd order is

A

a symmetric matrix

B

a skew symmetric matrix

C

diagonal matrix

D

does not exist

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