MA 122

Intro Linear Algebra

Vector geometry in R2and R3 ; the vector space Rn and its subspaces; spanning sets, linear independence, bases and dimension; dot product in Rn ; systems of linear equations and Gaussian elimination; matrices and matrix operations, matrix inverse; matrix rank; linear transformations in Rn ; introduction to determinants, Cramer’s rule; introduction to eigenvalues, eigenvectors and diagonalization of real matrices; applications of linear algebra. Notes: 3 lecture hours, 1.0 lab hours every week.