Q3 of 39 Page 1

Evaluate:

Given:




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1

If A is an 3 x 3 invertible matrix, then what will be the value of k if det ( a^-1 ) = (deta )^k

2

Determine the value of the constant ‘k’ so that the function is continuous at

4

If a line makes angle 90o and 60o respectively with the positive directions of x and y-axes, find the angle which it makes with the positive direction z-axis.

 5

Show that all the diagonal elements of a skew-symmetric matrix are zero.