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Systems of Linear Equations

"A system of linear equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving ...

Systems of Equations

"A system of equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving systems ...

Square Matrices

"When we are learning about matrices and matrix operations, one of the first things we need to learn about are square matrices. Square matrices have many applications in the real world. Square matrice ...

Solving Systems using Matrices

"A system of equations is two or more equations that contain the same variables. Solving systems using matrices is one method to find the point that is a solution to both (or all) original equations. ...

Solving Systems of Equations by Substitution

"A system of equations is two or more equations that contain the same variables. Solving systems of equations by substitution is one method to find the point that is a solution to both (or all) origin ...

Solving Systems of Equations by Graphing

"A system of equations is two or more equations that contain the same variables. Solving systems of equations by graphing is one method to find the point that is a solution to both (or all) original e ...

Solving Systems of Equations by Elimination

"A system of equations is two or more equations that contain the same variables. Solving systems of equations by elimination is one method to find the point that is a solution to both (or all) origina ...

Cramer's Rule

"Sometimes using matrix algebra or inverse matrices to find the solution to a system of linear equations can be tedious. Sometimes it is more convenient to use Cramer's Rule and determinants to solve ...

Augmented Matrices

"To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices. To use matrices to solve a system of linear equations, we first enter the values a ...

Matrix Operations

"When working with matrices, we can perform a number of matrix operations including matrix addition and subtraction. When adding or subtracting matrices, we first need to ensure that the matrices have ...

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