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Sinclair College

MAT 2320 Linear Algebra

Systems of linear equations, matrices, determinants, linear transformations, Euclidean n-space, coordinate vectors, abstract vector spaces, dimension and rank, eigenvalues and eigenvectors, orthogonal vectors, least-square problems, diagonalization, quadratic forms, singular-value decomposition. Applications such as Markov chains and computer graphics will be covered. Students will be introduced to the use of MATLAB for Linear Algebra. Two classroom, two lab hours per week.

Division: Science, Mathematics and Engineering
Department: Mathematics
Repeatable Credit: No
Offered Online: No

Prereqs: MAT 2280 


  • Prove elementary theorems from linear algebra; prove that given sets are vector spaces or subspaces; prove that given transformations are linear.
  • Solve linear systems of equations using Gauss-Jordan reduction and the inverse matrix method.
  • Determine a basis for a vector space, determine eigenvalues and eigenvectors of a matrix and then use them to diagonalize the matrix.

Credit Hours: 3

Classroom Hours: 2
Lab Hours: 2