# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-12 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

**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