Question

Construct a 2 × 2  matrix whose elements `a_(ij)`

are given by: `(i+j)^2/2`

Answer 1

`(i+j)^2/2`

Here,

`a_11= (1+1)^1/2=(2)^2/2=4/2=2,  a_12=(1+2)^2/2=(3)^2/2=9/2` 

`a_12=(2+1)^2/2=(3)^2/2=9/2,  a_22=(2+2)^2/2=(4)^2/2=16/2=8`

So, the required matrix is =`[[2       9/2],[9/2         8]]`