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Question
Construct a 2 × 2 matrix whose elements aij are given by:
`a_(ij)= (2i +j)^2/2`
Solution
`a_(ij)= (2i +j)^2/2`
Here ,
`a_11= [2(1)+1]^2/2=(2+1)^2/2=(3)^2/2=9/2 , a_12 = [2(1)+2]^2/2=(4)^2/2=16/2=8`
`a_21=[2(2)+1]^2/2= (4+1)^2/2=(5)^2/2=25/2 , a_22= [2(2)+2]^2/2=(4+2)^2/2=(6)^2/2=36/2=18 `
so, the required matrix is `[[9/2 8 ],[25/5 18]]`
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