Vectors multiplication
Vector multiplication is FUNDAMENTAL skill to solve Matrices multiplication.
Matrices multiplication
It’s extending the unit vector idea.
unit vector
Refer to Khan academy article.
In Gilbert Strang’s _Intro to Linear Algebra_, it’s different point of view:
For row form or column form:
Row form
Column form
Elimination is the method EVERY softwares use to solve linear equations.
Elimination
linear equations
prerequisites:
Prerequisites
Lecture timeline | Links
Orthogonal Matrix
It’s a Square Matrix consisted with Unit vectors. Usually it’s just Identity Matrix.
Refer to Wiki: Orthogonal Matrix.Refer to lecture by Imperial College London: Orthogonal Matrices
Orthonormal basis
Eigen-stuffs
Eigenvectors
For a linear transformation, an eigenvector is a vector which, after applying the transformation, stays in the same span.
linear transformation
eigenvector
When we say eigenvectors, we always need to say eigenvectors of a linear transformation.It's the same with…
eigenvectors
eigenvectors of a linear transformation