4. For the given matrix -2 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and corresponding eigen- vectors.

Q: q3: Trace of the matrix =Sum of the Eigen values  True  False

A: Trace of the matrix

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Q: (b) Assume two 3×3 matrices A and B have exactly the same characteristics equations. Let A have…

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Q: (d) cation. [11] =2 Write out eigendecomposition of A and verify it with the matrix multipli- m,

A: Eigenvalue decomposition:A=QDQ−1Where the columns of Q are the orthonormal eigenvectors and the…

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Q: Q3: Find the eigenvalues of the Matrix: 2 C = ( -3 1

A: To find the eigen values of the matrix C=-3210 The characteristic equation of the given matrix is…

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Q: Using your q-1 and p-3, find the eigenvalues of the matrix

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Q: 04) Find the eigenvalues and eigenvectors of the following matrix and liagonalize it if possible. 7…

A: Given : 3x3 matrix is given    7   0   -3  -9  -2   3  10   0   -8

Q: ven the matrix A = 3 -2 2 0 genvectors corresponding to the obtain onalize the matrix A.

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Q: If the diagonal matrix that is congruent to the given matrix is  2 0 0 0 -1 0 0 0 0 Can we…

A: Given matrix is A=−101011011. And the diagonal matrix that is congruent to the given matrix A is…

Q: Find the matrix A of the quadratic form assoe 2x2 - 3xy - 2y2 + 11 = 0 A = Find the eigenvalues of…

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Q: find eigen values of matrix 4 -2 -2 0 1 0 1 0 1 Select one: а. 3 b. 1 2 3 с. 1 d. 2

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Q: こ Find all eigenvectors of the the matrix A= 4 1 2 3 (a) ; (d) ; (b) ; (c) ; C O b

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Q: one of the eigenvalues of the matrix 0 1 A = -2 1 0 is -20

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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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