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Choose the correct alternative. If A = diag [d1, d2, d3,...,dn], where di ≠ 0, for i = 1, 2, 3,...,n, then A–1 = _______ - Mathematics and Statistics

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Question

Choose the correct alternative.

If A = diag [d1, d2, d3,...,dn], where di ≠ 0, for i = 1, 2, 3,...,n, then A–1 = _______

Options

  • `"diag".[1/"d"_1, 1/"d"_2, 1/"d"_3,......,1/"d"_"n"]`,

  • D

  • I

  • O

MCQ

Solution

If A = diag [d1, d2, d3,...,dn], where di ≠ 0, for i = 1, 2, 3,...,n, then A–1 = `"diag".[1/"d"_1, 1/"d"_2, 1/"d"_3,......,1/"d"_"n"]`,

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Determinant of a Matrix
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Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 82]

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