Module 5 Description and Learning Outcomes

Student Effort:

30 hours

	Description

At the completion of this module, students will:

Construct an orthogonal diagonalization of a symmetric matrix
Construct a spectral decomposition of a matrix.
Characterize and classify quadratic forms using eigenvalues and eigenvectors.
Apply eigenvalues and eigenvectors to solve optimization problems that are subject to distance and orthogonality constraints.
Compute the SVD for a rectangular matrix.
Apply the SVD to estimate the rank and condition number of a matrix, construct a basis for the four fundamental spaces of a matrix, and construct a spectral decomposition of a matrix.

Please complete the following tasks