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Course level: Undergraduate
This course provides a survey of the concepts related to linear algebra. Students examine the geometry of vectors, matrices, and linear equations, including Gauss-Jordan elimination. Students explore the concepts of linear independence, rank, and linear transformations. Vector spaces, bases, and change of bases are discussed, including orthogonality and the Gram–Schmidt process. In addition, students investigate determinants, eigenvalues, and eigenvectors.
- MTH/290 – Calculus II OR
- equivalent or higher college mathematics course
What you'll learn
Course skills and outcomes
- Perform and apply computational algorithms involving vectors and matrices and interpret the results.
- Use axiomatic reasoning to construct proofs for statements about vector spaces, eigenvalues, eigenvectors, and linear transformations.
- Apply concepts in linear algebra to economics, physics, and chemistry.