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Question
Construct a2 × 2 matrix where aij = |–2i + 3j|
Solution
Let A = `[("a"_13, "a"_12),("a"_21, "a"_22)]_(2 xx 2)`
Given that `aij = |–2i + 3j|
a11 = |–2 × 1 + 3 × 1| = 1
a12 = |–2 × 1 + 3 × 2| = 4
a21 = |–2 × 2 + 3 × 1| = –1
a22 = |–2 × 2 + 3 × 2| = 2
Hence, the matrix A = `[(1, 4),(-1, 2)]`
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