Math 213: Elementary Linear Algebra

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Catalog Information


Elementary Linear Algebra.

(Credit Hours:Lecture Hours:Lab Hours)



F, W, Sp, Su


Math 112.


Concepts and applications of linear systems, matrices, vectors and vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and eigenvectors.

Desired Learning Outcomes

Minimal learning outcomes

Upon completion of this course, the successful student will be able to:

  1. Vectors and vector operations
  2. Lines and planes and their equations
  3. Systems of linear equations
  4. Spanning sets and linear independence
  5. Matrix algebra
  6. The inverse of a matrix
  7. Subspaces, basis, dimension, and rank
  8. Linear transformations
  9. Eigenvalues and eigenvectors
  10. Determinants
  11. Similarity and diagonalization
  12. Orthogonality, orthogonal complements and projections
  13. Gram-Schmidt and QR factorization
  14. Vector spaces and subspaces
  15. Singular Value Decomposition


Possible textbooks for this course include (but are not limited to):

Additional topics

Courses for which this course is prerequisite