Topics for Test 2

Topics for Test 2 - Eigenvalues, eigenvectors, eigenspaces...

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Topics for Test 2 Coordinates and linear transformations (Leon 3.5, 4.1–4.3) • Coordinates relative to a basis • Change of basis, transition matrix • Matrix transformations • Matrix of a linear mapping Orthogonality (Leon 5.1–5.6) • Inner products and norms • Orthogonal complement, orthogonal projection • Least squares problems • The Gram-Schmidt orthogonalization process Eigenvalues and eigenvectors (Leon 6.1, 6.3)
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Unformatted text preview: Eigenvalues, eigenvectors, eigenspaces Characteristic polynomial Diagonalization The home assignment 11 (sections 6.1, 6.3) which will be given on November 17 with the due date November 24 will be useful for your preparation for the test. If you wish you can turn in on the day of test (November 22) instead of November 24 (but November 24 will be also OK)....
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