Question

Construct a 2 × 2 matrix whose elements a_ij are given by:

`aij=(i-j)^2/2`

Answer 1

`aij=(i-j)^2/2`

Here,

`a_11=(1-1)^2/2=(0)^2/2=0/2=0  , a_12=(1-2)^2/2=(-1)^2/2=1/2`

`a_21=(2-1)^2/2=(1)^2/2=1/2  , a_22= (2-2)^2/2=(0)^2/2=0/2=0`

So, the required matrix is `[[0    1/2],[1/2    0]]`