Solving a System with a Matrix

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

A _____ is a rectangular arrangement of numbers.

• matrix

• dimension

• coefficient

• system

Solve the system using matrices
x + 7y = - 21
9x + 7y = 35

• (7, -4)

• (-4, 7)

• (7, 4)

• (-4, -7)

Solve the system using matrices
x + 2y = 2
5x - 6y = - 54

• (-6, 4)

• (-8, 4)

• (8, 4)

• (6, 4)

What do w, x, y and z equal in this matrix equation?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

• (3,7)

• (5,14)

• (9,14)

• (3,14)

• 1/3

• 3

• 5

• 1

The rectangular array of numbers used as the “opposite” to “undo” multiplication in an matrix equation

• inverse matrix

• translation

• identity matrix

• equal matrix

A rectangular array of numbers arranged in rows and columns

• system of equations

• matrix

• linear programming

• ordered triples

What is
Cramer's Rule?

• A square matrix that, when multiplied by another matrix, equals that same matrix. If A is any n X n matrix and I is the n X n identity matrix, then A ⋅ I = A and I ⋅ A  =  A.

•  A matrix that contains only the coefficients of a system of equations.

•  A method that uses determinants to solve a system of linear equations.

• A method of solving a system of equations in which one equation is solved for one variable in terms of the other.