Page 561 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
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(a) Find the eigenvalues of A.
(b) For each eigenvalue , find the rank of the matrix .
(c) Is A diagonalizable? Justify your conclusion.
In Exercises 3–7 use the method of Exercise 2 to determine whether the matrix is diagonalizable.
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In Exercises 8–11 find a matrix P that diagonalizes A, and determine .
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In Exercises 12–17 find the geometric and algebraic multiplicity of each eigenvalue, and determine whether A is diagonalizable.
If so, find a matrix P that diagonalizes A, and determine .
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