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Solution sets of linear equations This video discusses solution sets of both homogeneous and inhomogeneous linear systems and how a row…

Inner product and orthogonality This video shows generalizes the inner product to higher dimensional spaces and discusses the geometric…

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In an era where computing power continues to grow at an exponential rate, the importance of high-performance computing (HPC) cannot be…

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

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

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

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

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…