# NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 8**:

Find non-zero values of satisfying the matrix equation:

**Answer**:

Given that,

**Question 9**:

If show that

**Answer**:

And

Since, is defined, if the number of columns of is equal to the number of row of , so here multiplication of matrices is possible.

Now,

Also,

And

Thus, we see that

Hence proved

**Question 10**:

Find the value of if

**Answer**:

We have,

**Question 11**:

Show that satisfies the equation and hence find .

**Answer**: