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Question
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = i – 3j
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Solution
A = [aij]3 × 2 = `[("a"_11, "a"_12),("a"_21, "a"_22),("a"_31, "a"_32)]`
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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