1.

Write the element  of the matrix  whose elements  are given by 

Using the properties of determinants, solve the following for x:

Solve the following for x:

Show that:

Let A = Q × Q, where Q is the set of all rational numbers, and * be a binary operation on A defined by (a, b) * (c, d) = (ac, b+ad) for (a, b), (c, d)  A. Then find
(i) The identify element of * in A.
(ii) Invertible elements of A, and write the inverse of elements (5, 3) and 

Find the absolute maximum and absolute minimum values of the function f given by

If