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1. Eigenvalues, eigenvectors, and similarity
2. Unitary similarity and unitary equivalence
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5. Norms for vectors and matrices
6. Location and perturbation of eigenvalues
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8. Positive and nonnegative matrices
Appendix A. Complex numbers
Appendix B. Convex sets and functions
Appendix C. The fundamental theorem of algebra
Appendix D. Continuous dependence of the zeroes of a polynomial on its coefficients
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