Maths-

General

Easy

Question

# If A is a square matrix, then A– 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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