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Construct a matrix A = [aij]2×2 whose elements aij are given by aij = e2ix sin jx. - Mathematics

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प्रश्न

Construct a matrix A = [aij]2×2 whose elements aij are given by aij = e2ix sin jx.

योग

उत्तर

For i = 1, j = 1, a11 = e2x sin x

For i = 1, j = 2, a12 = e2x sin 2x

For i = 2, j = 1, a21 = e4x sin x

For i = 2, j = 2, a22 = e4x sin 2x

Thus A = `[("e"^(2x) sin x, "e"^(2x) sin 2x),("e"^(4x) sin x, "e"^(4x) sin 2x)]`

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अध्याय 3: Matrices - Solved Examples [पृष्ठ ४६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 3 Matrices
Solved Examples | Q 1 | पृष्ठ ४६

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