LINEAR ALGEBRA

Catalog description

Linear systems and Gaussian elimination. Matrices and matrix operations. Determinants and their properties; invertible matrices. Euclidean and general vector spaces. Linear independence, subspaces, bases, and dimension. Linear transformations in Euclidean and in general vector spaces. Matrix of a transformation relative to fixed bases. Eigenvalues and eigenvectors; matrix diagonalization, and other applications. Inner product spaces, orthogonality; the Gram-Schmidt process; symmetric matrices; orthogonal matrices; applications. Offered each term.