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प्रश्न
Construct a 3 × 3 matrix whose elements are given by aij = `("i" + "j")^3/3`
उत्तर
a11 = `(1 + 1)^3/3 = 2^3/3 = 8/3`
a12 = `(1 + 2)^3/3 = 27/3` = 9
a13 = `(1 + 3)^3/3 = 64/3 = 64/3`
a21 = `(2 + 1)^3/3 = 27/3` = 9
a22 = `(2 + 2)^3/3 = 64/3 = 64/3`
a23 = `(2 + 3)^3/3 = 125/3 = 125/3`
a31 = `(3 + 1)^3/3 = 64/3 = 64/3`
a32 = `(3 + 2)^3/3 = 125/3 = 125/3`
a33 = `(3 + 3)^3/3 = 216/3` = 72
The required matrix A = `[(8/3, 9, 64/3),(9, 64/3, 125/3),(64/3, 125/3, 72)]`
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