) Find the distinct eigenvalues of A, their multiplicities, and the dimensions of their associated eigenspaces. Number of Distinct Eigenvalues: 1 Eigenvalue: 0 has multiplicity 1 and eigenspace dimension 1 >) Determine whether the matrix A is diagonalizable.

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Q: The matrix 0 A = 0 -1 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2.…

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Q: Determine all n × n symmetric matrices that have 0 as their only eigenvalue.

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Q: Please solve without AI and clear handwriting.

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A: A=-1805020-30-31004000-300000-30-1505017

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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: Find a basis of the eigenspace associated with the eigenvalue -3 of the matrix A -1 1 0 -3 0 57 9 2…

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Q: Find a basis for the eigenspace corresponding to each listed eigenvalue 4 1 A = -2 1 2 = 1, 2, 3 -2…

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Q: If R is diagonalizable and Q is similar to R, then show that Q has n linearly independent…

A: I will give the solution through the  examples

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Q: Reduce A to row-echelon form, and determine the eigenvalues of the resulting matrix.Are these the…

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A: Introduction :

Q: Find the orthonormal eigenbase of the linear operator А that has the matrix 1 2 0 A = 0 2 0 -2 -2 1,…

A: The given matrix, A=120020-2-21 We have to find the orthonormal eigen base of the linear operator…