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