Triangular Matrices The eigenvalues of an upper triangu- lar matrix and those of a lower triangular matrix appear on the main diagonal. Verify this fact for the matrices in Prob- lems 43–45. 2 43. 0 1 44. -3 45. 0 4 1 0 0 2

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A: We want to consider a 3×3 matrix.

Q: [5 Given A = Find the eigenvalues and eigenvectors of matrix A

A: See the attachment.

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A: Follow the procedure given below.

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A: The solution is given as

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A: Given information: To prove that the covariance matrix is non-negative.

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A: Given: To do: Find the eigenvalues and eigenvectors of the matrix

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Q: 1- Find the eigenvalues and eigenvectors of the matrix A 4 || -1 10 and

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A: The given problem is to find the eigen values and eigen spaces for the given matrix. We have to find…

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Q: Explain why a symmetric matrix with real entries can't have complex eigenvalues.

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Q: 104 Determine the eigenvalues and corresponding eigenvectors of the symmetric matrix -3 -3 -3 A = -3…

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A: See this solution in below.

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Q: i had a typo can you also find the eigenspace for the given matrix

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Q: 8. The eigenvalues of a matrix A are 7 and –1.

A: 8). Given, the eigenvalues of a matrix A are 7 and -1 with corresponding     eigenvectors are 12…

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