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Maths-

General

Easy

Question

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

unit matrix
null matrix
A
a skew symmetric matrix

The correct answer is: a skew symmetric matrix

It is given that A is a square matrix and we need to find what A-A' is
we know that the transpose of A - A' is (A-A')'
= A' - (A')'
=A' - A
=-(A-A')
Since it is equal to the negative of its transpose the matrix is a skew symmetric matrix

Therefore we prove that it is a skew symmetric matrix

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