Use Matrices and Gaussian Elimination to Solve Systems
Solve the System

question 54

Multiple Choice

Use Matrices and Gaussian Elimination to Solve Systems
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
- $$\begin{array} { r r } 3 x + 5 y - 2 w = & - 13 \\2 x + 7 z - w = & - 1 \\4 y + 3 z + 3 w = & 1 \\- x + 2 y + 4 z = & - 5\end{array}$$

• A) \(\{ ( 1 , - 2,0,3 ) \}\)
• B) \(\left\{ \left( \frac { 4 } { 3 } , - \frac { 13 } { 20 } , 0 , \frac { 5 } { 2 } \right) \right\}\)
• C) \(\left\{ \left( \frac { 3 } { 4 } , - 2,0 , \frac { 3 } { 4 } \right) \right\}\)
• D) \(\left\{ \left( - 1 , - \frac { 20 } { 13 } , 0 , \frac { 2 } { 5 } \right) \right\}\)

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Definitions:

Physical Characteristics

Observable attributes or features of an organism, including size, shape, texture, and color, that result from genes and environmental influences.

Phenotype

The set of observable characteristics or traits of an organism resulting from the interaction of its genotype with the environment.

Microscopic Characteristics

Features or properties of organisms or substances that are too small to be seen with the naked eye and require a microscope to be observed.

Widow's Peak

A V-shaped point on the human forehead hairline due to a specific genetic trait.