Matrix System of Equations

Solve the system of equations.

• (2, -4, -1)

• (4, -1, -2)

• (-2, 4, 1)

• (-2, 4, -1)

What is your level of understanding on a scale of 1 - 5 (5 is the high) on solving a system of equations using matrices (with the Desmos matrix calculator)?

• 1

• 2

• 3

• 4

• 5

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

• (0,0,11)

• (1,-2,6)

• (-1,2,-16

• (0,1,-14)

Solve the system.

• No Solution

• Infinitely Many Solutions

• (2, -1, 5)

• (3, -2, 1)

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

A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix

• constant matrix

• linear matrix

• coefficient matrix

Before you write an augmented matrix, make sure each equation in the system is written in _____ _____ .

• standard form

• random order

• decreasing order

• original form

State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3

State the dimensions of the augmented matrix for the system.

• 2 x 3

• 3 x 2

• 3 x 4

• 4 x 3