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Let A  be a 3 × 3 matrix. Suppose that the eigenvalues of A are –1, 0, 1 with respective eigenvectors (1,–1,0)T, (1,1,–2)T & (1,1,1)T. Then 6A is given by  Find the value of  α
    Correct answer is '5'. Can you explain this answer?
    Verified Answer
    Let A be a 3 × 3 matrix. Suppose that the eigenvalues of A are &...
    We know that,    the matrices D and P such that D = P–1AP is a diagonal matrix.
    In this case, 

     
    ∵  D = P–1AP
    Pre multiplying by P  and post multiplying by P–1, we get  A = PDP–1


    Hence,   6A = 
    The correct answer is: 5
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    Let A be a 3 × 3 matrix. Suppose that the eigenvalues of A are –1, 0, 1 with respective eigenvectors (1,–1,0)T, (1,1,–2)T & (1,1,1)T. Then 6A is given byFind the value ofαCorrect answer is '5'. Can you explain this answer?
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    Let A be a 3 × 3 matrix. Suppose that the eigenvalues of A are –1, 0, 1 with respective eigenvectors (1,–1,0)T, (1,1,–2)T & (1,1,1)T. Then 6A is given byFind the value ofαCorrect answer is '5'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Let A be a 3 × 3 matrix. Suppose that the eigenvalues of A are –1, 0, 1 with respective eigenvectors (1,–1,0)T, (1,1,–2)T & (1,1,1)T. Then 6A is given byFind the value ofαCorrect answer is '5'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be a 3 × 3 matrix. Suppose that the eigenvalues of A are –1, 0, 1 with respective eigenvectors (1,–1,0)T, (1,1,–2)T & (1,1,1)T. Then 6A is given byFind the value ofαCorrect answer is '5'. Can you explain this answer?.
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