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Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrix 




A satisfies the relation 

  • a)
    A +3I + 2A -2 =0    

  • b)
    A2+2A +2I=0

  • c)
    (A+1I)( A+2I)=0    

  • d)
    exp(A) =0

Correct answer is option 'C'. Can you explain this answer?
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Cayley - Hamiltion Theorem states that square matrix satisfies its own...
Characteristic equation of A is  
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Cayley - Hamiltion Theorem states that square matrix satisfies its own...
Characteristic equation of A is  




=> (λ + 1)(λ +2)

By Cayley theorem (A + 1I2 ) ( A + 2I2 )
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Community Answer
Cayley - Hamiltion Theorem states that square matrix satisfies its own...
Characteristics equation for 2x2 matrix:
y^2-(sum of the principal diagonal elements)*y+determinant of the matrix=0
y - substitution for lamda
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Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrixA satisfies the relationa)A +3I + 2A -2 =0 b)A2+2A +2I=0c)(A+1I)( A+2I)=0 d)exp(A) =0Correct answer is option 'C'. Can you explain this answer?
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Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrixA satisfies the relationa)A +3I + 2A -2 =0 b)A2+2A +2I=0c)(A+1I)( A+2I)=0 d)exp(A) =0Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrixA satisfies the relationa)A +3I + 2A -2 =0 b)A2+2A +2I=0c)(A+1I)( A+2I)=0 d)exp(A) =0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrixA satisfies the relationa)A +3I + 2A -2 =0 b)A2+2A +2I=0c)(A+1I)( A+2I)=0 d)exp(A) =0Correct answer is option 'C'. Can you explain this answer?.
Solutions for Cayley - Hamiltion Theorem states that square matrix satisfies its own characteristic equation, Consider a matrixA satisfies the relationa)A +3I + 2A -2 =0 b)A2+2A +2I=0c)(A+1I)( A+2I)=0 d)exp(A) =0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
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