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