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Question
Construct a 2 x 2 matrix whose elements aij are given by `((i + 2j)^2)/(2)`.
Solution
We have aij = `((i + 2j)^2)/(2)`
a11 = `((1 + 2 xx 1)^2)/(2) = (9)/(2)`
a12 = `((1 + 2 xx 1)^2)/(2) = (25)/(2)`
a21 = `((2 + 2 xx 1)^2)/(2) = (16)/(2)` = 8
a22 = `((2 + 2 xx 2)^2)/(2)` = 18.
The required matrix
A = `[(a_11 , a_12),(a_21 ,a_22)]`
A = `[(9/2, 25/2),(8,18)]`.
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