Use Matrices and Gaussian Elimination to Solve Systems
Solve the System

question 20

Multiple Choice

Use Matrices and Gaussian Elimination to Solve Systems
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
- $$\begin{aligned}x + y + z - w & = 6 \\2 x - y + 3 z + 4 w & = - 4 \\4 x + 2 y - z - w & = - 13 \\- x - 2 y + 4 z + 3 w = & 12\end{aligned}$$

• A) \(\{ ( - 4,3,5 , - 2 ) \}\)
• B) \(\{ ( 4 , - 3 , - 5,2 ) \}\)
• C) \(\left\{ \left( - \frac { 1 } { 4 } , \frac { 1 } { 3 } , \frac { 1 } { 5 } , - \frac { 1 } { 2 } \right) \right\}\)
• D) \(\left\{ \left( \frac { 1 } { 4 } , - \frac { 1 } { 3 } , - \frac { 1 } { 5 } , \frac { 1 } { 2 } \right) \right\}\)

Identify the structures involved in plant-microorganism interactions, such as root nodules and mycorrhizae.

Describe the key processes and factors involved in nitrogen fixation and its significance for plants and ecosystems.

Recognize the role of specific compounds and environmental conditions that facilitate or inhibit plant-microorganism symbiosis.

Understand the adaptations of plants to acquire nutrients, including the formation of specialized structures.

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