# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 10 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 24**:

If: [] find A.

**Answer**:

[]

Now

**Question 25**:

If verify that

**Answer**:

We have verify that,

We have,

Also,

And

Hence proved.

**Question 26**:

If then verify that , where I is unit matrix.

**Answer**:

We have.

Now,

And

Thus, we see that

**Question 27**:

If , then verify that:

(i)

(ii)

(iii)

**Answer**:

We have,

(i) We have to verify that,

And Hence Proved

(ii) We have to verify that,

And

Hence Proved.

(ii) We have to verify that,

Now,

And

Also, Hence proved.