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The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will be
  • a)
    A2 + A + 2I
  • b)
    A2 + A + I
  • c)
    - (A2 + A + I)
  • d)
    - (A2 + A + 2I)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The characteristic equation of a 3 x 3 matrix A is defined as C(&lambd...
C(r) = det(A - rI)
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Community Answer
The characteristic equation of a 3 x 3 matrix A is defined as C(&lambd...
D
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The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will bea)A2 + A + 2Ib)A2 + A + Ic)- (A2 + A + I)d)- (A2 + A + 2I)Correct answer is option 'D'. Can you explain this answer?
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The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will bea)A2 + A + 2Ib)A2 + A + Ic)- (A2 + A + I)d)- (A2 + A + 2I)Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will bea)A2 + A + 2Ib)A2 + A + Ic)- (A2 + A + I)d)- (A2 + A + 2I)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The characteristic equation of a 3 x 3 matrix A is defined as C(λ) = |λ - Al| = λ3 + λ2 + 2λ + 1 = 0. If l denotes identity matrix then the inverse of matrix A will bea)A2 + A + 2Ib)A2 + A + Ic)- (A2 + A + I)d)- (A2 + A + 2I)Correct answer is option 'D'. Can you explain this answer?.
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