Systems of Linear Equations. Matrices and matrix algebra. Vectors and vector spaces. Linear Independence. Span of a set of vectors. Basis and dimension of a vector space. Linear transformations of vector spaces. Rank of a matrix and the rank theorem. Determinants and their properties. Eigenvalues and eigenvectors. Diagonalization of matrices. Inner products. Orthogonal basis. Gram-Schmidt Orthogonalization. Orthogonal projection of a vector onto a subspace.
Core Courses are courses that fulfill lower-level requirements and apply to any transfer path major where they appear. Linear Algebra is universal course description, which maps to specific courses on SUNY campuses. Approved SUNY Transfer Path Core Courses are guaranteed to transfer to fulfill requirements in the major and/or required cognates (not just as electives) at all SUNY campuses if the course is completed with a grade of C or better.1 You may Search for Core Course equivalents using the Transfer Navigator.
1 While a grade of C or better is guaranteed, campuses can have different policies where they accept a passing grade lower than C. Pass/Fail courses may be accepted at the discretion of the campus, but transfer is not guaranteed.