Upon completion of this course, learners will be able to:

• Evaluate mathematical expressions to compute quantities that deal with linear systems
• Characterize a linear system in terms of the number of solutions, and whether the system is consistent or inconsistent.
• Apply elementary row operations to solve linear systems of equations.
• Characterize a set of vectors in terms of linear combinations, their span, and how they are related to each other geometrically
• Characterize a set of vectors and linear systems using the concept of linear independence.
• Construct dependence relations between linearly dependent vectors.
• Identify and construct linear transformations of a matrix.
• Characterize linear transformations as onto and/or one-to-one.