Determine the largest eigen value and the corresponding eigen vector of the matrix. (a) (b) [1 A = 1 0 15 A = -10 -20 6 1 2 0 0 3 - 4 12 - 3 - 6 - 2

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

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Q: 0031 0003 -1 600 -2600 (b) B = 0 030 0 003

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

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A: As given eigenvalues are 10,10,1. So eigenvectors are given by, A-λIV=0 where V is the eigenvector…

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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: Determine if v is an eigenvector of the matrix A. Select an Answer 1. 400 -B-8 0 -4 0 , V = 3 -5 1 A…

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A: Given A=110.5110.250.50.252

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A: The solution is given as

Q: (c) Determine the eigenvalues and eigenvectors of the matrix: 2 0 1 3

A: We have to find the eigenvalues and eigenvectors of the matrix.

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Q: 8. 16 Find the characteristic polynomial of the matrix A = 8 mentioned in 4 -4 Example I and use it…

A: We are given : A=5816418-4-4-11 ⇒λI=λ100010001=λ000λ000λ…