Let A be an n x n matrix satisfying A2=A (idempotent). Find all eigenvalues and eigenvectors...

Let A be an n x n matrix satisfying A²=A (idempotent). Find all eigenvalues and eigenvectors of A.

I know that the eigenvalues are 0 and 1 -- I do not know how to find the eigenvectors.

Expert Solution

Colby Messinger answered 2 months ago

In each of Problems 16 through 25, find all eigenvalues and eigenvectors of the given matrix....

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find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2...

find all eigenvalues and eigenvectors of the given matrix A= [1 0 0 2 1 -2 3 2 1]

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Let A be an n × n matrix which is not 0 but A2 = 0....

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\begin{pmatrix}2&-3&1\\ 1&-2&1\\ 1&-3&2\end{pmatrix}

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Let A be an n x n matrix satisfying A2=A (idempotent). Find all eigenvalues and eigenvectors...

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