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Question
Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by
aij = `(i + j)^3/(5)`
Solution
aij = `(i + j)^3/(5)`
∴ a11 =`(1 + 1)^3/(5) = (2^3)/(5) = (8)/(5), a_12 = (1 + 2)^3/(5) = (3^3)/(5) = (27)/(5)`
a21 = `(2 + 1)^3/(5) = (3^3)/(5) = (27)/(5), a_22 = (2 + 2)^3/(5) = (4^3)/(5) = (64)/(5)`
a31 = `(3 + 1)^3/(5) = (4^3)/(5) = (64)/(5), a_32 = (3 + 2)^3/(5) = (5^3)/(5) = (125)/(5)`
∴ A = `[((8)/(5), (27)/(5)),((27)/(5), (64)/(5)),((64)/(5), 25)]`
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