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