One of the eigenvalues of the matrix (²-a) C is 2(c + 1), and a corresponding eigenvector is O-1-2c 02 (2 c+1) O(+1) O-2 (2+ c) (-2). What is the value of a?

Q: Consider the following. A =    18 −80   4 −18,   P =    −4 −5   −1 −1 (a) Verify that A is…

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Q: For which value of k does the matrix have one real eigenvalue of multiplicity 2? k= -2 A = [ 2₂4]

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Q: Suppose the eigenvalues of A in R²x2 are Â₁ = 1 and Â₂ = 2. What are the eigenvalues of A+ I, where…

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Q: Find the matrix A of the quadratic form associated with the equation. 6x2 - 9xy - 6y² + 15 = 0 A =…

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Q: (VI) (VII) (VIII) integer?) Find A¹07 by writing as linear combination of eigenvectors of A. b Find…

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Q: Find the matrix A of the quadratic form associated with the equation. 6x29xy - 6y2 + 14 = 0 A = Find…

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Q: Find the matrix A of the quadratic form associated with the equation. 3x²8xy - 3y² + 12 = 0 A = Find…

A: The given equation is .To find the matrix  of the quadratic form, find its eigenvalues and find an…

Q: The matrix (matrix image) has one eigenvalue equal to 3. The sum of the other two eigenvalues is...…

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Q: 5 k A = -9 -1 have one real eigenvalue of multiplicity 2? k = 2/9

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Q: FIND the eigenvalues of the following matrix:                   [−3 −1]        B=      [ 2 −5]

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Q: The matrix -644 -1728] A 240 644 has eigenvalues ₁ = 4, and A₂ = -4. The corresponding eigenvectors…

A: Solution of the given question is like as

Q: The matrix has two distinct real eigenvalues if and only if k < -4 -2

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Q: Find the matrix A of the quadratic form associated with the equation. 2x²-3xy - 2y2 + 10 = 0 A =…

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