Linear Algebra
![Randomized Numerical Linear Algebra](/assets/images/posts/randomized_numerical_linear_algebra/rand_nla.webp)
Randomized Numerical Linear Algebra
Posted: April 08, 2024
Some follow up questions from my video on Randomized Numerical Linear Algebra
![The Matrix Inversion Lemma](/assets/images/posts/matrix_inversion_lemma/pic_2.png)
The Matrix Inversion Lemma
Posted: April 17, 2018
The Matrix Inversion Lemma looks intimidating, but it is easy to know when it applies. Doing so offers considerable computational speed ups.
![The Conjugate Gradient Method](/assets/images/posts/conjugate_gradient_method/pic_3.png)
The Conjugate Gradient Method
Posted: August 28, 2017
Utilizing a geometric perspective, we find an efficient algorithm for solving a special kind of system of equations.
![Singular Value Decomposition and the Fundamental Theorem of Linear Algebra](/assets/images/posts/svd_and_the_fundamental_theorem_of_linear_algebra/multiply_by_At.png)
Singular Value Decomposition and the Fundamental Theorem of Linear Algebra
Posted: June 07, 2017
Any linear transformation fixes four subspaces, which delineate outputs that can be reached using inputs that matter.