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Construct a matrix A = = [aij]3×2 whose element aij is given by aij = i – 3j - Mathematics and Statistics

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प्रश्न

Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = i – 3j

योग
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उत्तर

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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अध्याय 4: Determinants and Matrices - Exercise 4.4 [पृष्ठ ८२]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 4 Determinants and Matrices
Exercise 4.4 | Q 1. (ii) | पृष्ठ ८२

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