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Skew symmertic matrix

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Skew symmertic matrix

Posted by Tanuja Veer 4 years ago

CBSE > Class 12 > Mathematics

2 answers

Simran Sahu 4 years ago

A' = -A

0Thank You

Gaurav Seth 4 years ago

Skew Symmetric Matrices (Square Matrix)

A square matrix A = [a_ij] is said to be skew symmetric matrix if A′ = – A, that is a_ji = – a_ij for all possible values of i and j.

Now, if we put i = j, we have a_ii = – a_ii. Therefore 2a_ii = 0 or a_ii = 0 for all i’s.

This means that all the diagonal elements of a skew symmetric matrix are zero.

Numerical:

Solution: Notice that a_ji = – a_ij for all possible values of i and j. Thus it is a skew symmeticmatrix.

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ANSWER

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