References: 1. Linear Algebra and its applications Gilbert Strang 2. Computational science and Engineerings Gilbert Strang Partial Content: 1. Linear algebra review 2. Orthonormal sets of vectors and QR factorization 3. Least-squares 4. Least-squares applications 5. Regularized least-squares and Gauss-Newton method 6. Least-norm solutions of underdetermined equations 7. Eigenvectors and diagonalization 8. Symmetric matrices, quadratic forms, matrix norm, and SVD 9. SVD applications 10. functional svd