Question

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

`a_(ij)=|-3i +j|/2`

Answer 1

`a_(ij)=|-3i +j|/2`

Here,

`a_11=|-3(1)+1|/2=|-3 +1|/2=|-2|/2=1 , a_12=|-3(1)+2|/2=|-3+2|/2=|-1|/2=1/2`

`a_21 = |-3(2)+1|/2=|-6+1|/2=|-5|/2=5/2 ,  a_22 = |-3(2)+2|/2=|-6+2|/2=|-1|/4=2`

So, the required matrix is  `[[1  1/2],[5/2  2]]`