Systems of linear equations, Gaussian elimination, echelon forms, algebraic structure of solutions; vector and matrix arithmetic, invertibility; linear transformations and their matrices; vector spaces and subspaces, bases, coordinates, dimension, rank; change of basis; determinants, Cramer’s Rule; eigenvectors and eigenvalues; diagonalization; inner products, the Gram-Schmidt process.

Prerequisites:

• [MATH-230] Introduction to Ordinary Differential Equations -- with a grade of at least C.
• [MATH-225] Foundations of Higher Mathematics -- with a grade of at least C.

Teaching history:

• 2020 Spring

  -- E. Nastase.
• 2019 Spring

  -- M. Catral.
• 2018 Fall

  -- E. Nastase.
• 2018 Spring

  -- M. Catral.
• 2017 Spring

  -- M. Catral.
• 2016 Fall

  -- E. Nastase.
• 2016 Spring

  -- D. Berry.
• 2015 Spring

  -- D. Berry.
• 2014 Fall

  -- D. Berry.
• 2014 Spring

  -- M. Catral.