Determine the value of ‘k’ for which the following function is continuous at x = 3:

1

If for any 2 × 2 square matrix A, then write the value of |A|.

3

Find:

4

Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + 5z = 20.

5

If A is a skew-symmetric matrix of order 3, then prove that det A = 0.