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Select the correct option from the given alternatives: If A = [122212a2b] is a matrix satisfying the equation AAT = 9I, where I is the identity matrix of order 3, then the ordered pair (a, b) - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

If A = `[(1, 2, 2),(2, 1, -2),("a", 2, "b")]` is a matrix satisfying the equation AAT = 9I, where I is the identity matrix of order 3, then the ordered pair (a, b) is equal to ________

Options

  • (2, –1)

  • (–2, 1)

  • (2, 1)

  • (–2, –1)

MCQ
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Solution

If A = `[(1, 2, 2),(2, 1, -2),("a", 2, "b")]` is a matrix satisfying the equation AAT = 9I, where I is the identity matrix of order 3, then the ordered pair (a, b) is equal to (–2, –1)

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Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(B) [Page 100]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(B) | Q I. (4) | Page 100
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