• Learning Outcomes for 3450:312 Linear Algebra 

    Students are expected to be able to

    • Determine if a set of vectors is linearly independent
    • Represent systems of linear equations using matrices and solve such systems
    • Find bases and dimensions of vector spaces
    • Determine properties of matrix transformations
    • Find eigenvalues and eigenvectors for given matrix
    • Write elementary proofs
  • Topical Outline
    • Systems of Linear Equations
    • Matrices and Elementary Row Operations
    • Matrix Algebra
    • The Inverse of a Square Matrix
    • Matrix Equations
    • Elementary Matrices and LU Factorization
    • Vectors in Rn
    • Linear Combinations
    • Linear Independence
    • Definition of a Vector Space
    • Subspaces
    • Basis and Dimension
    • Linear Transformations
    • The Null Space and Range
    • Isomorphisms
    • Matrix Representation of a Linear Transformation
    • Similarity
    • Eigenvalues and Eigenvectors
    • Diagonalization