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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 This video explains what a linear transformation is. It then defines matrix multiplication by means of the…
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 This video shows an approximation of a solution to the Airy equation using Taylor polynomials. Presenter: T. Vroegrijk,…
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 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 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 This video explains what a quadratic form is and the relation to symmetric matrices. Presenter: M. Joosten, 2016
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 This video introduces systems of linear differential equations and how eigenvalues and eigenvectors…