Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 8 = 0 6 -5/2 A = -5/2 -6 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 13 13 2 ' 2 Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) - [[-5, 1],[1,5]] * P=

Q: enval triangular diagonal mal (Enter your answers as a tomma-separ 10 1 0 3 5 0 0 2]

A: In the given question, eigenvalue is to be calculated. Eigenvalue Eigenvalues are a unique set of…

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: 1 2 -2 -1

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Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

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Q: Which two of the following four values are the eigenvalues of A? Please explain your answer through…

A: Given:          A=2-10-310-6-617-10 To get Eigenvalues    A-λI=0       2-λ-10-310-λ-6-617-10-λ=0

Q: Find the matrix A of the quadratic form associated with the equation. Then find the eigenvalues of A…

A: The given quadratic form is 17x2+32xy-7y2-75=0. We have to find a matrix A of the quadratic form and…

Q: Constants: a = 2, b = 3 b. Using the eigenvalues write the characteristic polynomial of M. You may…

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Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 6 -30 3 955 0…

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Q: Find the matrix A of the quadratic form associated with the equation. 3x²8xy - 3y² + 6 = 0 A = Find…

A: We find the matrix A from the associate quadratic equation. And the find the eigen value by equating…

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

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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. 4x2 - 6xy - 4y2 + 9 = 0 A =…

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Q: A 2x2 matrix is known to have the eigenvalues -3 and 4. What are the eigenvalues of the following…

A: We will find out the required value.

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: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: a. C. 2 1²2 [132] 0 b. 2 d. -2-1

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: T-5 -3 81 Remember that Find the eigenvalues of the matrix A = you can write 2 7 1. the cofactor…

A: The solution is given as

Q: 6 0 1 3 -2 0 -8 0 -3

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Q: 3x2 - 8xy - 3y² + 15 = 0 d the eigenvalues of A. (Enter your answers as a comma-separated list.) d…

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Q: 1 3 6 -3 -5 -6 3 3 4

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Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

A: Let the given triangular matrix be Find the eigenvalues corresponding to the given matrix.