NCERT Class 12-Mathematics: Exemplar Chapter –3 Matrices Part 16
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Question 44:
If and , find value of
Answer:
We have,
Also,
By using equality of matrices, we get
Which is true for all real values of .
Question 45:
If the matrix is a skew symmetric matrix, find the values of a, b and c.
Answer:
Let
Since, A is skew-symmetric matrix.
By equality of matrices, we get
Question 46:
If , then show that .
Answer:
We have,
Now,
And
Thus, we see from the eq. (i), and (ii) and (iii) that,
Hence Proved.
Question 47:
If A is square matrix such that , show that .
Answer:
Given that,
As,
I is an identity matrix.
As, I is an identity matrix.
Hence,
…proved