NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 15

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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, it is clear that order of A should be

Let

By equality of matrices, we get

And

Question 43:

If find ,

Answer:

We have,