Systems of Linear Equations

Formulate a system of linear equations as a matrix equation Ax = b

Represent a system of linear equations using an augmented matrix

Apply elementary row operations to an augmented matrix

Perform Gaussian elimination to reduce a matrix to row echelon form

Perform Gauss-Jordan elimination to reach reduced row echelon form

Determine if a system of linear equations has one, zero, or infinite solutions from its row echelon form