Perform the Indicated Row Operations on the Matrix $\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]$

question 108

Multiple Choice

Perform the indicated row operations on the matrix. Show the final result.
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]$
Add $- 2$ times $R _ { 1 }$ to $R _ { 2 }$ .
Add $- 1$ times $R _ { 1 }$ to $R _ { 3 }$ .

• A) \(\left[ \begin{array} { c c c } 1 & - 9 & - 36 \\ 2 & - 3 & - 1 \\ 1 & - 8 & - 33 \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\ 0 & 1 & - 4 \\ 0 & - 10 & - 36 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\ 0 & 1 & 5 \\ 0 & - 6 & - 30 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\ - 3 & 4 & - 1 \\ 0 & 6 & 30 \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\ 0 & - 1 & 2 \\ 0 & - 4 & - 29 \end{array} \right]\)

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Definitions:

Stent

A tube or other device inserted into a blocked passageway to keep it open, frequently used in arteries to prevent or relieve a blockage.

Blockage

Blockage refers to the obstruction or closing off of a passage or vessel, impeding or stopping the flow within it.

Cardiovascular Disease

A general term for conditions affecting the heart and blood vessels, such as coronary artery disease, heart attacks, and stroke.

Hypertension

Form of cardiovascular disease characterized by blood pressure over 140/95 (over 45 years of age) or 130/90 (under 45 years of age).