Construct a 2 × 2 matrix A = [ai j] whose elements ai j are given by: (i + j)2 /2

Find the values of a, b, c and d from the equations:

Find x, y, a and b if

Find x, y, a and b if

Construct a 4 × 3 matrix A = [a_{i j}] whose elements a_{i j} are given by a_{i j} = i

Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by \( a_{i j} = \dfrac{(i – j)}{(i + j)}\)