Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...
Understanding and implementation of algorithms to calculate matrix decompositions such as eigenvalue/vector, LU, QR, and SVD decompositions. Applications include data-fitting, image analysis, and ...
Slack for questions about the course and student - led discussions (See Canvas for link) Note about email: Email should be used only for personal/individual matters, and even then it is better to come ...
Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...
Learn how to solve linear systems using the matrix approach in Python. This video explains how matrices represent systems of equations and demonstrates practical solutions using linear algebra ...
If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...
Linear algebra is rarely described as popular, but rarely does a mathematician portray it in a different, illuminating light. That is certainly one reason Gilbert Strang’s linear algebra lectures are ...