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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If A = aa[axya] and if xy = 1, then det(AAT) is equal to - Mathematics

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Question

Choose the correct alternative:
If A = `[("a", x),(y, "a")]` and if xy = 1, then det(AAT) is equal to

Options

  • (a – 1)2

  • (a2 + 1)2

  • a2 – 1

  • (a2 – 1)2

MCQ

Solution

(a2 – 1)2

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Determinants
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Chapter 7: Matrices and Determinants - Exercise 7.5 [Page 41]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 7 Matrices and Determinants
Exercise 7.5 | Q 10 | Page 41

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