Gaussian Elimination Key Concepts Glossary

Vocabulary flashcards based on lecture notes about Gaussian Elimination.

Augmented Matrix

A coefficient matrix adjoined with the constant column separated by a vertical line within the matrix brackets

Coefficient Matrix

A matrix that contains only the coefficients from a system of equations

Gaussian Elimination

Using elementary row operations to obtain a matrix in row-echelon form

Main Diagonal

Entries from the upper left corner diagonally to the lower right corner of a square matrix

Row-Echelon Form

After performing row operations, the matrix form that contains ones down the main diagonal and zeros at every space below the diagonal

Row-Equivalent

Two matrices A and B are row-equivalent if one can be obtained from the other by performing basic row operations

Row Operations

Adding one row to another row, multiplying a row by a constant, interchanging rows, and so on, with the goal of achieving row-echelon form