# NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 6

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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:**