Find the matrix A of the quadratic form associated with the equation.3x²8xy - 3y2 + 12 = 0A =Find the eigenvalues of A. (Enter your answers as a comma-separated list.)λ =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 =Need Help?Submit AnswerRead It

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

Answered: Find the matrix A of the quadratic form…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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decide if the given statement is true or false,and give a brief justiﬁcation for your answer. If true, you can quote a relevant deﬁnition or theorem . If false,provide an example,illustration,or brief explanation of why the statement is false. Q. The eigenvalues of an upper or lower-triangular matrix A are the entries appearing on the main diagonal of A.
For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not possible, enter IMPOSSIBLE.) 2 -2 5 A = 3 -2 L0 -1 2 P = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP =
For matrix C, find the associated eigenvalues. c=15₁ 31 C -1 01 and 5 O4 and 3 O-5 and 2 O4 and 6
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) -1 0 0 2 15 501 P = A = ↓↑ Verify that P-¹AP is a diagonal matrix with the eigenvalues on the main diagonal. P-1AP =
Diagonlize the matrix if possible. the eigenvalues are as follows λ=3,1 7 4 16 2 5 8 -2 -2 -5
Please help, in order to review for a test:
3. Find the Eigen value of the following matrix: (3 1 1) B = (2 4 2 \1 1 3/
Find the matrix A of the quadratic form associated with the equation. 4x² - 6xy - 4y² + 6 = 0 A = 4 -3 P = -3 -4 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) λ = 5, -5 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.) [1,0], [0,1]
For the matrix A, find (if possible) a nonsingular matrix P such that P1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 100 15-1 L-30 5. A= 41 p-¹AP = Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. 2 000 000 11
Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) 50 1 0 1 2 0 0 2

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