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.