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

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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