MATH 1107: Linear Algebra I

A general introduction to linear algebra. Focuses on systems of linear equations, matrix operations, matrix inverses, determinants, geometric vectors in Euclidean space, subspace concepts, linear independence, eigenvalues, and dot/cross product applications.

• Systems of linear equations: Gaussian elimination, row echelon form, matrix inverses, and LU decomposition in MATH 1107
• Vector space theory: linear independence, span, basis vectors, dimension, null space, and column space
• Linear transformations: matrix representations, kernel and range, coordinates, and change of basis transformations
• Spectral theory and applications: eigenvalues, eigenvectors, characteristic polynomials, and matrix diagonalization in Linear Algebra I