# NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 16

Doorsteptutor material for IEO Class-3 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

**Question 44:**

If and , find value of

**Answer:**

We have,

Also,

By using equality of matrices, we get

Which is true for all real values of .

**Question 45:**

If the matrix is a skew symmetric matrix, find the values of *a*, *b* and *c*.

**Answer:**

Let

Since, A is skew-symmetric matrix.

By equality of matrices, we get

**Question 46:**

If , then show that .

**Answer:**

We have,

Now,

And

Thus, we see from the eq. (i), and (ii) and (iii) that,

Hence Proved.

**Question 47:**

If A is square matrix such that , show that .

**Answer:**

Given that,

As,

I is an identity matrix.

As, I is an identity matrix.

Hence,

…proved