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MTH 197: Linear Algebra

This is a first course in linear algebra. Topics include systems of linear equations, vector equations and matrix equations; matrix algebra, partitions and factorizations; determinants; matrix inverses and the Invertible Matrix Theorem; vector spaces and subspaces; linear independence, bases and dimension; null and column spaces, rank; linear transformations on vector spaces, kernel and range; injective, surjective and bijective mappings; isomorphism; eigenvalues and eigenspaces; diagonalization; inner product spaces, orthogonal matrices, Gram-Schmidt orthogonalization; least-squares approximation; and diagonalization of symmetric matrices.

Level I Prereq: Academic Reading and Writing Levels of 6; Academic Math Level 7 or MTH 191 minimum grade "C"

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