Linear Algebra

Preface: 0.00%
Preliminaries: 0.00%
Vectors and Matrices: 0.00%
MATLAB: 0.00%
Special Kinds of Matrices: 0.00%
The Geometry of Vector Operations: 0.00%
Solving Linear Equations: 0.00%
: 0.00%
The Geometry of Low-Dimensional Solutions: 0.00%
: 0.00%
: 0.00%
Linear Equations with Special Coefficients: 0.00%
Uniqueness of Reduced Echelon Form: 0.00%
Matrices and Linearity: 0.00%
: 0.00%
Matrix Mappings: 0.00%
: 0.00%
The Principle of Superposition: 0.00%
: 0.00%
: 0.00%
: 0.00%
Determinants of 2 × 2 Matrices: 0.00%
Solving Ordinary Differential Equations: 0.00%
A Single Differential Equation: 0.00%
Graphing Solutions to Differential Equations: 0.00%
Phase Space Pictures and Equilibria: 0.00%
Separation of Variables: 0.00%
Uncoupled Linear Systems of Two Equations: 0.00%
Coupled Linear Systems: 0.00%
The Initial Value Problem and Eigenvectors: 0.00%
Eigenvalues of 2 × 2 Matrices: 0.00%
Initial Value Problems Revisited: 0.00%
: 0.00%
Vector Spaces: 0.00%
Vector Spaces and Subspaces: 0.00%
Construction of Subspaces: 0.00%
: 0.00%
: 0.00%
Dimension and Bases: 0.00%
: 0.00%
Closed Form Solutions for Planar ODEs: 0.00%
The Initial Value Problem: 0.00%
Closed Form Solutions by the Direct Method: 0.00%
Solutions Using Matrix Exponentials: 0.00%
Linear Normal Form Planar Systems: 0.00%
Similar Matrices: 0.00%
Formulas for Matrix Exponentials: 0.00%
Second Order Equations: 0.00%
Qualitative Theory of Planar ODEs: 0.00%
Sinks, Saddles, and Sources: 0.00%
Phase Portraits of Sinks: 0.00%
Phase Portraits of Nonhyperbolic Systems: 0.00%
Determinants and Eigenvalues: 0.00%
Determinants: 0.00%
Eigenvalues: 0.00%
Existence of Determinants: 0.00%
Linear Maps and Changes of Coordinates: 0.00%
Linear Mappings and Bases: 0.00%
: 0.00%
: 0.00%
: 0.00%
Orthogonality: 0.00%
: 0.00%
: 0.00%
Least Squares Fitting of Data: 0.00%
Symmetric Matrices: 0.00%
: 0.00%
Matrix Normal Forms: 0.00%
: 0.00%
: 0.00%
: 0.00%
: 0.00%
Markov Matrix Theory: 0.00%
Proof of Jordan Normal Form: 0.00%
Overall: 0%

https://ximera.osu.edu/certificate/H4sIAAAAAAACA0WMvQrCMBhFX6Vkts2fTU22Ti6Ourh9TT6lkDaQHxDEdzdxcbpwz7n3TXbYkBhyLphyd0sYyYGUFoa81g0jDCGVAV2hrU1U6clJWCarOTg1MimOJ2cfrM4c5HYlmFA9471kVyEN52aUA9f8Xg0bSkzNoR6CQ%2BrXHSHO%2FolLhMrzmn3Dl1%2Ff%2FUGyIVbAPl8rLJ4IsQAAAA%3D%3D/wfBvYQxHkC1UtR6DmR1kl9t2cXANWPQ7eQFdgZY1%2Bs5H1lauZFOOMNUt2ch5uv24q5zedK8ksx0oiPriS%2Fml521PEJqUAPb1BhP8zehf%2FmgIomlq1w8NMSq5uyVxvaKm0hmzTvJmj7iX9RbR5fUjjqEHQV26XUQZ7qUUo9Z0kLzbOBg7iZjK38uwhlYzzESnIcsbryZX8rh%2Fu5%2BjCCtT4LwK3jPEt%2B2STTtT7uKvSVogSyJxC9MOtwJDA45KP8vZZivi%2FhhoDCW7nX9RF3xCmKqH7xf0uKilUv%2BnSt1geyR8bKljr6utfqfwHC90jOeWs9X%2FPQODBw4U2dnXp%2FJqAQ%3D%3D