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CK-12 Foundation
Ck 12: Algebra: Limitations of Matrix Multiplication
[Free Registration/Login may be required to access all resource tools.] This lesson shows you how to determine if two matrices can be multiplied together and explains that the commutative property does not apply.
Sophia Learning
Sophia: Using Determinants to Classify 3x3 Matrices: Lesson 2
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.
Sophia Learning
Sophia: Using Determinants to Classify 3x3 Matrices: Lesson 3
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.
Sophia Learning
Sophia: Using Determinants to Classify 2x2 Matrices: Lesson 2
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.
Math Medics
S.o.s. Math: Application of Determinant to Systems: Cramer's Rule
This lesson explains how the determinant is used for Cramer's Rule.
Math Notes and Math Tests
Pre Calculus Notes: The Inverse of a Square Matrix [Pdf]
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.
Wolfram Research
Wolfram Math World: Determinant Expansion by Minors
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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Cramer's Rule and Determinant of a Matrix
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....
CK-12 Foundation
Ck 12: Algebra: Determining the Type of Linear System
[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.
Math Notes and Math Tests
Pre Calculus Notes: The Determinant of a Square Matrix [Pdf]
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.
University of St. Andrews (UK)
University of St. Andrews: Matrices and Determinants
This resource explains determinants as related to mathematics and the history of determinants.
Interactive Mathematics
Interactive Mathematics: Finding the Inverse of a Matrix
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.
Interactive Mathematics
Interactive Mathematics: Determinants
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.
Oak Ridge National Laboratory
Ornl: 7 Gaussian Elimination on Band Matrices
This site gives an example of solving a system of equations with the use of Gaussian Elimination.
Other
Meta Calculator: Matrix Calculator
Use this web-based matrix calculator to solve for functions and operations.
Sophia Learning
Sophia: Singular and Non Singular Matrices: Lesson 1
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."
Sophia Learning
Sophia: Singular and Non Singular Matrices: Lesson 3
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."
Purple Math
Purplemath: Minors and Cofactors: Expanding Along a Row
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...
Wolfram Research
Wolfram Math World: Minor
This site explains what a minor is relative to matrix manipulations and gives insight on how to use the program "Mathmatica" involving minors.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Geometria De Los Determinantes
In Spanish. In this interactive session you will study the second order determinant and its properties. Both methods geometrically and algebraically are presented.
University of St. Andrews (UK)
University of St. Andrews: Gottfried Wilhelm Von Leibniz
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.
Texas Instruments
Texas Instruments: Polynomial Functions
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...
CK-12 Foundation
Ck 12: Algebra: Consistent and Inconsistent Linear Systems
[Free Registration/Login may be required to access all resource tools.] Identify a system as inconsistent, consistent, or dependent and determine how many solutions a system has.
University of Georgia
University of Georgia: Slope of Lines
This site provides a detailed unit on finding the slope of lines that investigates methods for solving systems of equations. Good lesson plan for class.