Find the matrix A of the quadratic form associated with the equation. 6x2 - 9xy - 6y² + 15 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 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.) 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…

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Q: quadrato form below. It can be shown that the eigenvalues of A are 6, 9, and that the change of…

A: The quadratic form is 9x12+8x22+10x32-4x1x2+4x1x3 and A is a matrix and its eigenvalues are 6, 9,…

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

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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: Diagonalize the matrix below, if possible. The eigenvalues for A are )= 1,2. 0 -4 -6 A -1 -3 1 2 5

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

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Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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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 eigenvalues of the matrix. -2 -2 4 A = -4 1 2 2 2

A: First I have find the characteristic polynomial of given matrix , then find its root and these are…

Q: the matrix, list the real eigenvalues, repeated according to their multiplicities. 9 -3 0 4 3 0 4 0…

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Q: [5 3 --2 2 3.3 For each of the following two symmetric matrices: (i) and (ii) 2 -4]' 3 0 a) find the…

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Q: Select an Answer ✓ 1. A = [ A = -40 22 -66 37 Select an Answer -2 -3 , V = 6 -11 2. 1 :]. [] V= 1 1…

A: If 'v' is the eigen vector of matrix A then .

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

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

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Q: 5 -1 0 -5 9 5 -1 0,

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Q: – 3 -5 Find the eigenvalues of the matrix A 4

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

A: A matrix is diagonalisable if algebraic and geometric multiplicity of all eigen values are equal. In…

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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

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

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Q: nd homeworks are allowed, each student must write and submit their own, independent solutions. Let T…

A: Given T is a 2×2 matrix T=ab0d with real coefficients i.e. a,b,d∈ℝ. Let σ be the set of all…