Module Objective: To introduce students to linear equations, determinants, vectors, complex numbers and matrices.Overview of coordinate geometry in 1, 2 and 3 dimensions. Describing lines and planes by means of linear equations. Systems of linear equations and augmented matrices. Row echelon form matrices and back substitution. Elementary row operations and Gaussian elimination. Bound and free variables. Matrices and rules of matrix arithmetic. Noncommutativity of matrix prod...
Learning Outcomes
Solve a system of linear equations using Gaussian Elimination
Perform operations with matrices
Compute the determinant of 2 x 2 and 3 x 3 matrices. Find the inverse of a 2 x 2 matrix
Draw and understand 2- and 3-dimensional diagrams
Perform vector operations, dot products, distance, norms, angles and projections
Write down the equation of lines and planes in 2 and 3 dimensions. Coordinatize lines and planes in space
Handle the algebra and geometry of complex numbers
Use the methods from the course to solve problems. State definitions and theorems covered in the course