pass_Midterm_2_Overview - Material covered after MIDTERM 2 Material from sections 4.4 5.1 5.4 complex numbers Eigenvalues Eigenvectors(continuing

pass_Midterm_2_Overview - Material covered after MIDTERM 2...

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Material covered after MIDTERM 2 Material from sections 4.4, 5.1 – 5.4, complex numbers Eigenvalues, Eigenvectors (continuing) Similar matrices Determining of A is diagonalizable, Find A = PDP -1 or D = P -1 AP Diagonalization theorem (Th 4.27) Orthogonality Orthogonal vectors, sets and basis; Orthonormal set and basis; Calculating unique scalars (Th 5.2) Orthogonal matrix Q, det Q (Th 5.8) Properties of orthogonal matrices (Th 5.5, 5.6and 5.7) Orthogonal complement of a subspace, and the properties of the subspace Relationship between row space, column space, and the null space of A and A T (Th 5.10)

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