Systems and matrices

Concepts

• System of linear equations 10 exercisesA system of linear equations is a set of linear equations in the same unknowns. A solution is an assignment of values that satisf…
• Matrix 10 exercisesA matrix A is a rectangular array of numbers arranged in rows and columns; with m rows and n columns, it has size m× n.
• Matrix multiplication 10 exercisesThe product AB of two matrices A and B, when A has as many columns as B has rows, is the matrix whose (i,j) entry combines row i…
• Gaussian elimination 10 exercisesGaussian elimination solves a linear system by reducing its augmented matrix, with coefficients A and vector mathbf b, to an eche…
• Inverse matrix 10 exercisesThe inverse of a square matrix A is the matrix A^-1 that gives the identity I when multiplied by A on either side; if it exists,…
• Transpose matrix 10 exercisesThe transpose A^T of a matrix A is the one obtained by exchanging its rows and columns.