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Choose the correct alternative. If A = [a000a000a], then |adj.A| = _______ - Mathematics and Statistics

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Question

Choose the correct alternative.

If A = `[("a", 0, 0),(0, "a", 0),(0, 0,"a")]`, then |adj.A| = _______

Options

  • a12  

  • a9 

  • a6 

  • a–3 

MCQ
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Solution

adj A = `[("a"^2, 0, 0),(0, "a"^2, 0),(0, 0,"a"^2)]`

∴ |adj A| = `[("a"^2, 0, 0),(0, "a"^2, 0),(0, 0,"a"^2)]`

= a6.

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Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 81]

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