# NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 3

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## Long Answer (L. A.)

**Question 6:**

Express the matrix A as the sum of a symmetric and a skew symmetric matrix, where

**Answer:**

We have

Hence

And

Therefore,

**Question 7:**

If then show that A satisfies the equation .

**Answer:**

**Question 8:**

Let . Then show that .

Using this result calculate also.

**Answer:**

We have

Therefore,

Thus