NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 10

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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.