1) λm is the eigenvalue of matrix Am (m belongs to N).2) kλ is an eigenvalue of matrix kA.3) λ + k is an eigenvalue of the matrix A + kI.4) λ - k is an eigenvalue of matrix A - kI.Calculation:Given:3, 5 are the EIGENVALUES then,Using Property 1;A3 = λ3 = 33 = 27.A3 = λ3 = 53 = 125.

"> 1) λm is the eigenvalue of matrix Am (m belongs to N).2) kλ is an eigenvalue of matrix kA.3) λ + k is an eigenvalue of the matrix A + kI.4) λ - k is an eigenvalue of matrix A - kI.Calculation:Given:3, 5 are the EIGENVALUES then,Using Property 1;A3 = λ3 = 33 = 27.A3 = λ3 = 53 = 125.

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If 3, 5 are the eigenvalues of a square matrix A of order 2, then the eigenvalues of the matix A3 will be

General Aptitude Algebra in General Aptitude 1 year ago

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Concept:If λ is an eigenvalue of a matrix A and k is a scalar then:1) λm is the eigenvalue of matrix Am (m belongs to N).2) kλ is an eigenvalue of matrix kA.3) λ + k is an eigenvalue of the matrix A + kI.4) λ - k is an eigenvalue of matrix A - kI.Calculation:Given:3, 5 are the EIGENVALUES then,Using Property 1;A3 = λ3 = 33 = 27.A3 = λ3 = 53 = 125.

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