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: