Algebra Series - Concepts and Formulas™
Inverse Matrices, Matrix Equations, Fundamentals of Determinants (ALG-CF18)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas fully covering inverse matrices, matrix equations and the fundamentals 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:

• How to find the inverse of a square matrix using a grafted matrix
• Properties of inverse matrices
• The uniqueness of inverse matrices
• The zero product property for matrices
• The inverse of a transposed matrix
• Matrix equations
• How to solve systems of linear equations using matrix equations
• The determinant function
• Determinants of order n
• How to evaluate determinants
• How to determine the value of a determinant
• The minors of a determinant
• The expansion of a determinant along a specific row or column
• Cofactors
• Cofactor expansion of determinants