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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If A = ab[12221-2a2b] is a matrix satisfying the equation AAT = 9I, where I is 3 × 3 identity matrix, then the ordered pair (a, b) is equal to - Mathematics

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Question

Choose the correct alternative:
If A = `[(1, 2, 2),(2, 1, -2),("a", 2, "b")]` is a matrix satisfying the equation AAT = 9I, where I is 3 × 3 identity matrix, then the ordered pair (a, b) is equal to

Options

  • (2, – 1)

  • (– 2, 1)

  • (2, 1)

  • (– 2, – 1)

MCQ

Solution

(– 2, – 1)

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Matrices
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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 7 | Page 41

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