Let A = -8 2 2 -5 4 4 (1) Compute the characteristic polynomial of the matrix A. (2) Find the eigenvalue of A and their multiplicities. (3) Is A invertible? Why?

Q: Find an invertible matrix P and a diagonal matrix D such that A = P D P-1 where the eigenvalues are…

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Q: True Or False: If some choice of eigenvectors for the n x n matrix A turns out to be a basis for R",…

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Q: Suppose A is a 3 × 3 matrix with real entries that has a complex eigenvalue -8 - i -2-51] with…

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Q: Find all the eigenvalues (real and complex) of the matrix The eigenvalues are M = -4 -5 5 6 -1 -5 -2…

A: To find the eigenvalues of the given matrix if we solve the characteristic equation M-Iλ=0

Q: 2 1 -1 -1 4 -1 1 2 = 1 -1 0 -1 1 -1 0 -1 1 300 0 -1 -1 020 -1 −1 −1 003 -1 -1 0

A: if a matrix A is diagonalized it can be written as  A=PDP-1 where D is the diagonal matrix formed by…

Q: True/False: There exists a square real matrix A with no real eigenvalues. True O False

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Q: Qi/ Find the eigen values and the assotiated eigen vectors of the following matrix: [5 7 -5] A = 0 4…

A: Using charectristic equation A-lembda i=0

Q: Suppose a 3 x 3 real matrix A has only two (real) distinct eigenvalues. Suppose that tr(A) = -1 and…

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Q: 3. The characteristic polynomial of the matrix A = -1 4 -1 4 -1 is (A-2)(X - 5)². a) Find the…

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Q: Consider the matrix A = - (²-2) (a) Compute the eigenvalues and the corresponding eigenve (b) Let v…

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