Linear Algebra

The following pages from Paul's Online Notes cover the same topics as PWr's "Elementary Linear Algebra" and "Linear Algebra and Analytic Geometry" classes, but some details will be different between these notes and our lectures / quizzes / exams.

Vectors and matrices and systems of linear equations

• Introduction to vectors
• Vector arithmetic
• Dot product
• Cross product
• 3D Coordinate system
• Equations of planes
• Equations of lines
• Systems with 2 variables and 2 equations -- substitution and elimination
• Systems with 3 variables and 3 equations -- substitution and elimination
• Matrices
• Matrix determinant and inverse (not Paul's Notes)
• Solving a system using matrix inverse (not Paul's Notes)
• Eigenvalues and Eigenvectors

Complex numbers and polynomials

• The Quadratic Formula
• Complex Numbers
• Polar Form of Complex Numbers
• Conjugate And Modulus
• Zeros and The Factor Theorem
• Polynomials Quotients and Remainders
• Graphing Polynomials
• Finding Zeroes of Polynomials
• Partial Fractions