The Inverse of a Matrix and Solving Systems of Equations Using Matrices

MATRICES AND SYSTEMS OF EQUATIONS

Matrices are useful to mathematics and in real world applications as well. Computer spreadsheet programs essentially operate as interactive matrices. Matrices are used to describe multiple electronic circuits. When the elements of a matrix are complex numbers, then they can be used to evaluate and describe a wide range of topics from astronomy to banking decisions, and even used to develop automotive paint mixtures that are highly resistant to scratches and other types of abuse. In this unit, we will explore inverse matrices and use them to solve systems of linear equations. In a real world situation, a set of solutions to a system of related events is where matrix applications begin.

Setting Up a 3 by 3 System of Equations (03:34)

Gaussian Elimination (00:38)

Chinese Method for Solving a 3 by 3 System of Equations (04:24)

Below are additional educational resources and activities for this unit.

Determinants of 2×2 Matrices

terminants of 3×3 Matrices