NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-12 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

Long Answer (L. A.)

Question 6:

Express the matrix A as the sum of a symmetric and a skew symmetric matrix, where

Answer:

We have

Hence

And

Therefore,

Question 7:

If then show that A satisfies the equation .

Answer:

Question 8:

Let . Then show that .

Using this result calculate also.

Answer:

We have

Therefore,

Thus