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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If the square of the matrix γ[αβγ-α] is the unit matrix of order 2, then α, β, and γ should - Mathematics

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Question

Choose the correct alternative:
If the square of the matrix `[(alpha, beta),(γ, - alpha)]` is the unit matrix of order 2, then α, β, and γ should

Options

  • 1 + α2 + βγ = 0

  • 1 – α2 – βγ = 0

  • 1 – α2 + βγ = 0

  • 1 + α2 – βγ = 0

MCQ

Solution

1 + α2 + βγ = 0

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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 14 | Page 41

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