Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the System

question 73

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the system of equations using matrices. Use Gauss-Jordan elimination.
- $$\begin{aligned}3 x + 5 y + 2 w & = - 12 \\2 x + 6 z - w & = - 5 \\- 2 y + 3 z - 3 w & = - 3 \\- x + 2 y + 4 z + w & = - 2\end{aligned}$$

• A) \(\{ ( - 1 , - 3,0,3 ) \}\)
• B) \(\{ ( 1 , - 3,0,3 ) \}\)
• C) \(\{ ( - 1,3,0 , - 3 ) \}\)
• D) \(\{ ( 1,3,0 , - 3 ) \}\)

---

Definitions:

Organisms

Any form of life, ranging from microscopic entities like bacteria to complex multicellular beings such as humans and trees.

Nonliving Environment

All the abiotic components in an ecosystem, including minerals, water, sunlight, and atmospheric gases, which affect living organisms.

Ecology

The branch of biology that deals with the relationships of organisms to one another and to their physical surroundings.

Connections

The relationships or links between people, places, devices, or concepts that allow for communication, interaction, or transfer of information.