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Question
Construct a 2 × 2 matrix whose elements aij are given by:
`a_(ij)=(i-2_j)^2/2`
Solution
`a_(ij)=(i-2_j)^2/2`
Here,
`a_11=[1-2(1)]^2/2=(1-2)^2/2=(-1)^2/2=1/2 `,
`a_12=[1-2(2)]^2/2=(1-4)^2/2=(-3)^2/2=9/2`
`a_21= [2-2(1)]^2/2=(2-2)^2/2=0/2=0 ,`
`a_22=[2-2(2)]^2/2=(2-4)^2/2=(-2)^2/2=4/2=2`
So, the required matrix is `[[1/2 9/2],[0 2]]`
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