MM 260: Linear Algebra

Investigates linear equations, vector spaces, and matrix algebra. Key topics include matrix operations, determinants, Gaussian elimination, linear transformations, vector subspaces, basis and dimension, eigenvalues and eigenvectors, and orthogonality with applications in engineering and computer science.

• Systems of linear equations and matrices: row echelon forms, matrix multiplication, and matrix inverses in MM 260
• Vector spaces and subspaces: linear independence, span, basis, and dimension determinations for Linear Algebra
• Linear transformations: kernel, range, rank-nullity theorem, and matrix representation in MM 260
• Eigenvalues and eigenvectors: characteristic polynomials, matrix diagonalization, and dot product orthogonality at Purdue Global