Matrix Theory with ApplicationsThis course, generally called Linear Algebra, is usually taught in mathematics departments as a service course for engineers. While there is no real prerequisite other than algebra, students will need a calculus of differential equations background to appreciate this course. |
Common terms and phrases
A₁ algebraic algorithm arrow diagram Assume Cartesian equation Chapter coefficients column space compute convex coordinate vectors Corollary defined det(A diagonal entries diagonal matrix eigenpair eigenvalues eigenvectors elementary matrix elementary row operations Example exists feasible solution Find following matrices full column rank function given Hence hermitian implies inner product integer inverse ith column ith row leading columns Lemma linear combination linearly independent lower triangular MATLAB MATLAB returns multiplication n-tuples nonnegative nonsingular matrix nonzero norm notation null space null(A orthogonal matrix orthonormal basis plane polynomial positive definite projector Proof prove QR factorization rank(A reduced row echelon Repeat Problem result row echelon form row equivalent rref scalar Section set of vectors Show singular values solution of Ax square matrix subspace Suppose symmetric matrix system Ax tableau Theorem u₁ unitary unitary matrix upper trapezoidal upper triangular matrix vector space Verify