Test Review: Systems and Matrices

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

What is an augmented matrix?

Back

A matrix that includes the coefficients and constants of a system of equations.

Front

What does it mean to solve a system of equations using matrices?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is reduced row-echelon form (RREF)?

Back

A form of a matrix where each leading entry is 1, and is the only non-zero entry in its column.

Front

How do you determine the size of an augmented matrix?

Back

The size is determined by the number of equations (rows) and the number of variables plus one (columns).

Front

What is the purpose of using matrices to solve systems of equations?

Back

To simplify calculations and find solutions more efficiently.

Front

What is a leading entry in a matrix?

Back

The first non-zero number in a row, moving from left to right.

Front

What is the difference between a square matrix and a rectangular matrix?

Back

A square matrix has the same number of rows and columns, while a rectangular matrix does not.

Front

What is the Gaussian elimination method?

Back

A method for solving systems of equations by transforming the matrix to row-echelon form.