Question

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

`a_(ij)=|2_i - 3_i|/2`

Answer 1

`a_(ij)=[[2_i - 3_i]]/2`

Here,

`a_11=|2(1)-3(1)|/2=|2-3|/2=[|-1|]/2=1/2 , a_12 = |2(1)-3(2)|/2=[|2-6|]/2=[|-4|]/2=2`

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

so, the required matrix is `[[1/2   2 ], [1/2   1]]`