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Matrix multiplications

Matrix multiplications

Matrix multiplications This video explains what a linear transformation is. It then defines matrix multiplication by means of the…

Diagonalisable Matrices

Diagonalisable Matrices

Diagonalisable Matrices This video shows that being able to diagonalise a matrix can be used to simplify computing a power of that matrix.…

The Airy Equation

The Airy Equation

The Airy Equation This video shows an approximation of a solution to the Airy equation using Taylor polynomials. Presenter: T. Vroegrijk,…

Dimensions

Dimensions

Dimensions This video discusses discusses different bases for a subspace and coordinates with respect to these bases in order to introduce…

Cramer's rule

Cramer's rule

Cramer's rule This video shows how to use a determinant to solve a linear system if it has a unique solution, which is known as Cramer's…

Inverse matrices

Inverse matrices

Inverse matrices This video explains what the inverse of a matrix is and how to find the inverse of a 2x2 matrix. Presenter: D. den…

Quadratic forms

Quadratic forms

Quadratic forms This video explains what a quadratic form is and the relation to symmetric matrices. Presenter: M. Joosten, 2016

Gram-Schmidt

Gram-Schmidt

Gram-Schmidt This video explains how the Gram-Schmidt process works. Presenter: A. Hensbergen, 2016

Systems of linear differential equations

Systems of linear differential equations

Systems of linear differential equations This video introduces systems of linear differential equations and how eigenvalues and eigenvectors…

Eigenvectors and eigenvalues

Eigenvectors and eigenvalues

Eigenvectors and eigenvalues This video discusses eigenvalues and eigenvectors. Examples are given on how to verify if a vector is an…