Media Summary: Orthogonal sets, orthogonal projections, Best Approximation Theorem. Complex eigenvalues/eigenvectors, inner products, orthogonality. More on orthogonal sets, projection, orthogonal matrices, orthogonal projections.
Math 461 Lecture 27 - Detailed Analysis & Overview
Orthogonal sets, orthogonal projections, Best Approximation Theorem. Complex eigenvalues/eigenvectors, inner products, orthogonality. More on orthogonal sets, projection, orthogonal matrices, orthogonal projections. Parametric vector form of solutions, linear independence. Linear independence, linear transformations. The Orthogonal Decomposition Theorem, The Best Approximation Theorem, The Gram-Schmidt Process.
Quadratic forms and eigenvalues, constrained optimization. Eigenvalues and Eigenvectors: the characteristic polynomial.
