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Question
Construct a 2 × 2 matrix whose elements aij are given by:
`a_(ij)=|2_i - 3_i|/2`
Solution
`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]]`
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