Use the Matrix Capabilities of a Graphing Utility to Reduce

question 10

Multiple Choice

Use the matrix capabilities of a graphing utility to reduce the augmented matrix corresponding to the system of equations,and solve the system.​ $$\left\{ \begin{aligned}x + 2 y + 2 z + 4 w & = 20 \\3 x + 6 y + 5 z + 12 w & = 53 \\x + 3 y - 3 z + 2 w & = - 18 \\6 x - y - z + w & = - 30\end{aligned} \right.$$ ​

• A)​(-4,1,7,-2)
• B)(-4,-1,7,2)
• C)(-4,1,-7,2)
• D)(-4,-1,-7,-2)
• E)(-4,1,7,2)

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Definitions:

REM Sleep

A phase of sleep characterized by rapid eye movement, increased brain activity, and vivid dreams. It is critical for processing emotions and consolidating memories.

Light Sleep

A stage of sleep that is characterized by easy awakeness and is not as deep as REM or deep sleep stages.

Deep Sleep

A stage of sleep characterized by slow brain waves, known as delta waves, associated with physical renewal and memory consolidation.

Sleep Spindles

Burst of brain activity observable in an electroencephalogram (EEG) that occurs during stage 2 of sleep, associated with memory consolidation.