How do you calculate the determinant of a 2x2 matrix?

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian ... Linear Algebra ... Linear algebra through eigenvalues, eigenvectors, applications to linear systems, least squares, diagonalization, quadratic forms. The study of vector spaces over the real and complex numbers, introducing the concepts of subspace, linear independence, basis, and dimension. RSS Latest news from ILAS-NET · Conference Announcement - WSGT 2025 · Nordic Numerical Linear Algebra Workshop, Uppsala -- Aug 2025 · Upcoming ILAS elections-- ... Linear algebra gives you mini-spreadsheets for your math equations. We can take a table of data (a matrix) and create updated tables from the original. Theoretical aspects of abstract vector spaces. Linear transformations: isomorphisms, matrix representations, change of coordinates, eigenvalues and eigenvectors ... A one semester course in linear algebra. Topics include vector spaces, matrices, and linear transformations, eigenvalues and eigenvectors, determinants, ... Jun 9, 2022 ... We identify key algorithmic ideas, such as iterative refinement, adapting the precision to the data, and exploiting mixed precision block fused ... This interactive course includes video lessons, exercises, quizzes, a final exam and a scratch notebook, all in an easy-to-use interface. The LinearAlgebra package offers routines to construct and manipulate Matrices and Vectors, compute standard operations, query results and solve linear algebra ...