Question

Construct an m × n matrix A = [a_ij], where a_ij is given by

(i) a_ij = (i - 2j)²/2 with m = 2, n = 3

(ii) a_ij = |3i - 4j|/4 with m = 3, n = 4

Answer 1

(i) a_ij = (i - 2j)²/2

Here m = 2, n = 3 

So we have to construct a matrix of order 2 × 3

Now A matrix of order 2 x 3 will be of the form

(ii) Here m = 3 and n = 4

So we have to construct a matrix order 3 × 4 

The general form of a matrix of order 3 × 4 will be