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प्रश्न
Construct a 3 × 4 matrix A = [ajj] whose elements ajj are given by:
ajj = i − j
उत्तर
Let A = [aij]2 × 3
So, the elements in a 3 × 4 matrix are
a11, a12, a13, a14, a21, a22, a23, a24, a31, a32, a33, a34
a11 = 1 − 1 = 0 a12 = 1 − 2 = −1 a13 = 1 − 3 = −2 a14 = 1 − 4 = −3
a21 = 2 − 1 = 1 a22 = 2 − 2 = 0 a23 = 2 − 3 = −1 a24 = 2 − 4 = −2
a31 = 3 − 1 = 2 a32 = 3 − 2 = 1 a33 = 3 − 3 = 0 a34 = 3 − 4 = −1
So, from (1)
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