2 -1 2 -1 1 -1 Let A = .Verify that v1 and v2 are eigenvectors of A. Then 1 orthogonally diagonalize A.

Q: Consider a matrix A = a C where a, b, c are real numbers such that abc = 1 and a² + b² + c? = 3. (a)…

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Q: A5 Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are λ₁ = -2, A₂ = 4, and X3 = 1. If B. =…

A: Matrix X is contain eigen vectors  Matrix D contains eigenvalues

Q: One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A: A can be diagonalized if there exists an invertible matrix P and diagonal matrix D such that A=PDP-1…

Q: determine a basis for each eigenspace of A and sketch the eigenspaces.

A: To find a basis for a given matrix we first find the eigen value of the matrix. Next for each of the…