Using the Gauss-Jordan Method (9.6.1)

Question 1

• The Gauss-Jordan method uses matrix manipulations to solve systems of linear equations.

Answer 1

• The Gauss-Jordan method uses matrix manipulations to solve systems of linear equations.

Question 2

• When using the Gauss-Jordan method, you are allowed to:

1. Flip the order of rows.
2. Multiply a row by a constant.
3. Replace a row by the sum of two rows.

Answer 2

• When using the Gauss-Jordan method, you are allowed to:

1. Flip the order of rows.
2. Multiply a row by a constant.
3. Replace a row by the sum of two rows.

Question 3

• An augmented matrix is a matrix representing a system of linear equations where the constants are included along with the coefficients. Typically, the first row of an augmented matrix contains the coefficients and constant from the first equation and the second row contains the coefficients and constant from the second equation. If the system is two equations in terms of x and/or y, then the first column contains the coefficients of x, the second column contains the coefficients of y, and the third column contains the constants. A vertical line is used to separate the last coefficient column from the constant column. This line may be a solid vertical line or a dashed (dotted) vertical line.

Answer 3

• An augmented matrix is a matrix representing a system of linear equations where the constants are included along with the coefficients. Typically, the first row of an augmented matrix contains the coefficients and constant from the first equation and the second row contains the coefficients and constant from the second equation. If the system is two equations in terms of x and/or y, then the first column contains the coefficients of x, the second column contains the coefficients of y, and the third column contains the constants. A vertical line is used to separate the last coefficient column from the constant column. This line may be a solid vertical line or a dashed (dotted) vertical line.