9.1 Matrix Solutions to Linear Systems
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How to Perform Matrix Row Operations?
A matrix with 1s down the main diagonal and 0s below the 1s is in row-echelon form. To produce a matrix in this form, use row operations on the augmented matrix.
Use Matrices and Gauss-Jordan Elimination to Solve Systems
The Gauss-Jordan Elimination is in reduced row-echelon form.
How do you write an Augmented Matrix?
To write an augmented matrix separate the columns of the matrix into two groups using a vertical bar. 2. Write the coefficients of each variable to the left of the vertical line and the constants to the right. *If any variable is missing, its write a 0 for its coefficient.* Furthermore, the variables must be in the same order in each equation.