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Chapter 6 Eigenvalues and Eigenvectors
After completing this chapter, students should be able to do the following.
Objectives
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Define eigenvalues and eigenvectors geometrically.
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Use characteristic polynomials to compute eigenvalues and eigenvectors.
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Define algebraic multiplicity and geometric multiplicity.
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Utilize properties to show that two matrices are not similar.
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Use eigenvectors of matrices, when possible, to diagonalize a matrix.
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Implement the Power Method and its variants.
