# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 15 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 40**:

If then find . Hence, obtain

**Answer**:

We have,

Now,

[Using Eq. (i) and (ii) ]

**Question 41**:

Find the values of and , if

**Answer**:

We have,

And

**Question 42**:

Find the matrix A such that

**Answer**:

We have,

From the given equation, order of A should be

Let

By equality of matrices, we get

And

**Question 43**:

If find ,

**Answer**:

We have,