This lesson demonstrates how the determinant of a 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 3x3 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This lesson demonstrates how the determinant of a 2x2 matrix can be used to tell whether or not the matrix represents a dependent linear system, an inconsistent linear system, or neither.

This over view of matrices begins with an application to electronics using circuit equations. Examples are provided to demonstrate types of matrices, the identity matrix, addition and scalar multiplication of matrices.

Examples are provided to demonstrate how to use matrices to solve 2x2 and 3x3 matrices. Examples include real world applications and some are interactive.

A demonstration of matrix multiplication is presented through several detailed examples. Explanations of how the commutative law works only on the identity and inverse matrices are also included.

This lesson explains how the determinant is used for Cramer's Rule.

This MathWorld site explains the technique for finding the determinant using minors. The site also suggests to use this method only on small matrices, giving a link to Guassian elimination for the alternative(larger matrices.) The site...

Sixteen problems present a variety of practice using Cramer's Rule to solve equations and systems of equations and working with the determinant of a matrix. They are given with each step to the solution cleverly revealed one at a time....

[Free Registration/Login may be required to access all resource tools.] Solve a system and use the result as a guide to identify its type.

The resource investigates the determinant of a square matrix. Topics examined are computing determinants, Sarrus?s rule, and the cross product of two vectors. Class notes and examples are included.

This site gives an example of solving a system of equations with the use of Gaussian Elimination.

Two methods are demonstrated for finding the inverse of a matrix. The examples are detailed and easy to follow. Several interactive examples are also provided.

Using determinants and Cramer's Rule, systems of two and three variables are solved step by step. Several examples are presented to demonstrate how Cramer's Rule is used.

This lesson introduces the notion of a singular matrix and provides a shortcut to determine whether or not a given 2x2 matrix is singular. It is 1 of 5 in the series titled "Singular and Non-Singular Matrices."

This lesson introduces the notion of a singular matrix and provides a shortcut to determine whether or not a given 2x2 matrix is singular. It is 3 of 5 in the series titled "Singular and Non-Singular Matrices."

A "minor" is the determinant of the square matrix formed by deleting one row and one column from some larger square matrix. To find the determinant of the matrix A, you have to pick a row or a column of the matrix, find all the cofactors...

In Spanish. In this interactive session you will study the second order determinant and its properties. Both methods geometrically and algebraically are presented.

Students explore the inverse of a square matrix. Topics examined are the inverse of a real number, using inverses to solve systems, and the determinant of a 2 x 2 matrix. Class notes and examples are included.

This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."

This site explains what a minor is relative to matrix manipulations and gives insight on how to use the program "Mathmatica" involving minors.

The online course consists of educational materials about calculus with several variables. Lecture notes, syllabus, exams, and assignments with solutions are included.

This site from the University of St. Andrews provides a biographical account of the life of Gottfried Wilhelm von Leibniz. Includes links to mathematics topics such as matrices and determinants, quadratic, cubic and quartic equations, etc.

In this set of questions, students will find the x-intercepts of a polynomial function, factor a polynomial, and determine the number of solutions of a polynomial equation. Questions are multiple choice and true/false; solutions are...