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Complex eigenvalues

Complex eigenvalues

Complex eigenvalues This video gives several examples of matrices with complex eigenvalues and shows what happens if you apply such a matrix…

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…