Non-Square Linear Systems - Computational Linear Algebra
Channel: Nick Space Cowboy
Date: 2022-05-08

This video covers how we can solve and decompose non-square linear systems in linear algebra via computational methods.

Github: https://github.com/nkphysics/Computational-Linear-Algebra-/tree/master/Unit2/9_Non-Square

Not all linear systems have the convenience of being square.
So how could we solve a non-square linear system computationally?
To show we can even solve a non-square linear system we need to be able to perform a LU decomposition of a non square matrix, so we show how we can perform a LU decomposition of a non-square matrix computationally. While we're at matrix decompositions we examine how to perform  the LDV matrix decomposition for non-square matrices.
Then we examine how we can solve a non-square linear system, and some of the issues with solving them.