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- https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_Spring_2023_-_OER/07%3A_Matrices/7.02%3A_Systems_of_Linear_Equations_and_the_Gauss-Jordan_MethodIn this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system b...In this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system by simple row operations. The process is continued until the solution is obvious from the matrix. The matrix that represents the system is called the augmented matrix, and the arithmetic manipulation that is used to move from a system to a reduced equivalent system is called a row operation.
- https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_June_2022/05%3A_Systems_of_Equations_and_Inequalities/5.06%3A_Solving_Systems_with_Gaussian_EliminationA matrix can serve as a device for representing and solving a system of equations. To express a system in matrix form, we extract the coefficients of the variables and the constants, and these become ...A matrix can serve as a device for representing and solving a system of equations. To express a system in matrix form, we extract the coefficients of the variables and the constants, and these become the entries of the matrix. We use a vertical line to separate the coefficient entries from the constants, essentially replacing the equal signs. When a system is written in this form, we call it an augmented matrix.
- https://stats.libretexts.org/Courses/Fresno_City_College/New_FCC_DS_21_Finite_Mathematics_-_Spring_2023/07%3A_Matrices/7.02%3A_Systems_of_Linear_Equations_and_the_Gauss-Jordan_MethodIn this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system b...In this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system by simple row operations. The process is continued until the solution is obvious from the matrix. The matrix that represents the system is called the augmented matrix, and the arithmetic manipulation that is used to move from a system to a reduced equivalent system is called a row operation.
- https://stats.libretexts.org/Under_Construction/Purgatory/DS_21%3A_Finite_Mathematics/05%3A_Systems_of_Equations_and_Inequalities/5.06%3A_Solving_Systems_with_Gaussian_EliminationA matrix can serve as a device for representing and solving a system of equations. To express a system in matrix form, we extract the coefficients of the variables and the constants, and these become ...A matrix can serve as a device for representing and solving a system of equations. To express a system in matrix form, we extract the coefficients of the variables and the constants, and these become the entries of the matrix. We use a vertical line to separate the coefficient entries from the constants, essentially replacing the equal signs. When a system is written in this form, we call it an augmented matrix.
- https://stats.libretexts.org/Under_Construction/Purgatory/Finite_Mathematics_-_Spring_2023/07%3A_Matrices/7.02%3A_Systems_of_Linear_Equations_and_the_Gauss-Jordan_MethodIn this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system b...In this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system by simple row operations. The process is continued until the solution is obvious from the matrix. The matrix that represents the system is called the augmented matrix, and the arithmetic manipulation that is used to move from a system to a reduced equivalent system is called a row operation.
- https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/07%3A_Matrices/7.02%3A_Systems_of_Linear_Equations_and_the_Gauss-Jordan_MethodIn this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system b...In this section, we learn to solve systems of linear equations using a process called the Gauss-Jordan method by first expressing the system as a matrix, and then reducing it to an equivalent system by simple row operations. The process is continued until the solution is obvious from the matrix. The matrix that represents the system is called the augmented matrix, and the arithmetic manipulation that is used to move from a system to a reduced equivalent system is called a row operation.
