System of Equations with 3 Variables (Matrices)

Front

What is a system of equations?

Back

A set of equations with the same variables that are solved together to find common solutions.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The solutions are represented by the points where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

How do you represent a system of equations using matrices?

Back

You can represent a system of equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

Tags

CCSS.HSA.REI.C.8

Front

What is the coefficient matrix?

Back

The matrix that contains the coefficients of the variables in a system of equations.

Tags

CCSS.HSA.REI.C.8

Front

What is the augmented matrix?

Back

The matrix that includes the coefficients and the constants from the system of equations, separated by a vertical line.

Tags

CCSS.HSA.REI.C.8

Front

What is the inverse of a matrix?

Back

The matrix that, when multiplied by the original matrix, yields the identity matrix.

Tags

CCSS.HSA.REI.C.9

Front

How do you find the inverse of a 3x3 matrix?

Back

Use the formula involving the determinant and the adjugate of the matrix.

Tags

CCSS.HSA.REI.C.9