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प्रश्न
Construct a2 × 2 matrix where aij = `("i" - 2"j")^2/2`
उत्तर
Let A = `[("a"_11, "a"_12),("a"_21, "a"_22)]_(2 xx 2)`
Given that aij = `("i" - 2"j")^2/2`
a11 = `(1 - 2 xx 1)^2/2 = 1/2`
a12 = `(1 - 2 xx 2)^2/2 = 9/2`
a21 = `(2 - 2 xx 1)^2/2` = 0
a22 = `(2 - 2 xx 2)^2/2` = 2
Hence, the matrix A = `[(1/2, 9/2),(0, 2)]`
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