Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian $$\begin{array} { r } x - y + z - w = 10 \\- 2 x + 3 y + 5 w = - 28 \\x + 2 y + 8 z + 3 w = - 10 \\x - 4 y - 6 z - 5 w = 30\end{array}$$

question 63

Multiple Choice

Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian Elimination to Systems Without Unique Solutions
- $$\begin{array} { r } x - y + z - w = 10 \\- 2 x + 3 y + 5 w = - 28 \\x + 2 y + 8 z + 3 w = - 10 \\x - 4 y - 6 z - 5 w = 30\end{array}$$

• A) \(\{ ( - 17 w - 10 , - 13 w - 16,5 w + 4 , w ) \}\)
• B) \(\{ ( 3 w - 2 , - 8 w + 3,4 w + 9 , w ) \}\)
• C) \(\{ ( 24,10 , - 6 , - 2 ) \}\)
• D) \(\varnothing\)

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Definitions:

Sensations

The subjective experiences generated by the stimulation of a sense organ, such as sight or smell.

Sound Waves

Vibrations that travel through the air or another medium, perceived as sounds when they reach a person's or animal's ear.

Amplitude

The height or strength of a wave signal, which in the context of sound, affects the volume, and in light, influences brightness.

Frequency

In the context of waves, it refers to the number of cycles or vibrations per unit of time, often measured in Hertz (Hz).