Algebra Series - Concepts and Formulas™
Determinant Solutions of Linear Systems, Applications of Determinants (ALG-CF19)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas completely covering determinant solutions of linear systems and applications of determinants, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Properties of determinants
• How to use determinants to find the inverse of a square matrix
• How to calculate determinant solutions of systems of linear equations
• Cramer's rule
• The rank of a matrix
• How to find the solution of a linear system using Cramer's rule
• The equation of a line in point-slope form
• The equation of a line through two points
• The area of a triangle