NCERT Class 12-Mathematics: Exemplar Chapter – 3 Matrices Part 3 (For CBSE, ICSE, IAS, NET, NRA 2023)
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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