## Linear algebra: an introduction |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

additive and homogeneous alnxn augmented matrix Brief Exercises coefficient matrix compute the determinant coordinates Definition denoted dot product eigenvalues eigenvector elementary matrices Example Consider Example Suppose Exercises for Section expressed Figure following matrices form a basis form a linearly geometric Give an argument given vectors homogeneous system inverse line determined linear equations linear function linear span linear transformation linearly independent set m x n matrix matrix in row n x n n-tuples noncollinear vectors nonsingular matrices nonzero vector obtain ordered bases orthonormal basis plane proper linear combination properties Proposition quadratic function real numbers relative row echelon form row operations satisfying scalar multiple set of vectors SM.l solution set solve square matrix subspace of R3 system of equations system of linear transition matrix unknowns vector equation vector space vectors in R2 vectors x,y,z vectors Xl Xl and X2 Xn form zero vector