Maharashtra State BoardHSC Commerce 12th Board Exam
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Construct a matrix A = ij[aij]3×2 whose element aij is given by aij = i – 3j - Mathematics and Statistics

Sum

Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by

aij = i – 3j

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Solution

aij = i – 3j
∴ a11 = 1 – 3(1) = 1 – 3 = – 2
a12 = 1 – 3(2) = 1 – 6 = – 5
a21 = 2 – 3(1 = 2 – 3 = – 1
a22 = 2 – 3(2) = 2 – 6 = – 4
a31 = 3 – 3(1) = 3 – 3 = 0,
a32 = 3 – 3(2) = 3 – 6 = – 3

∴ A = `[(-2 , -5),(-1, -4),(0, -3)]`.

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