MA 122

Vector geometry in R2 and R3; the vector space Rn; dot product; cross product in R3; systems of linear equations and Gaussian elimination; matrices and matrix operations, matrix inverse, orthogonal matrices; matrix rank; introduction to determinants, Cramer's rule; linear combinations, linear span, linear independence; introduction to dimension; linear transformations in R2 and R3; introduction to eigenvalues, eigenvectors and diagonalization of real matrices; quadratic forms in R2 and R3; applications of linear algebra. <br>