MA 405 - Matrix Analysis and Applied Linear Algebra

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Syllabus

Homework

Topics

1. Linear Equations
   Gaussian Elimination and Matrices. Gauss-Jordan Method.

2. Matrix Algebra
   Addition, Multiplication, and Division if possible.

3. Vector Spaces
   Linear Independence, basis and dimension.
4. Linear Transformations, Change of basis.
   Invariant Subspaces, the rank of linear transformations. Null sace of a linear transformation.

5. Norms, Inner products and Orthogonality
   Gram-Schmidt and Procedure

6. Determinants

7. Eigenvalues and Eigenvectors