Linear combination of matrices pdf
Section RREF Reduced Row-Echelon Form. C05 (Robert Beezer) Each archetype below is a system of equations. Form the augmented matrix of the system of equations, convert the matrix to reduced row-echelon form . has the same number of rows as columns), then A is called a square matrix. MATH† Linear Algebra† Brief lecture notes 15 A square matrix whose nondiagonal entries are all zero is called a diagonal matrix. A diagonal matrix all of whose diagonal entries are the same is called a scalar matrix. Definition. A matrix is a linear combination of if and only if there exist scalars, called coefficients of the linear combination, such that In other words, if you take a set of matrices, you multiply each of them by a scalar, and you add together all the products thus obtained, then you obtain a linear combination.