Perform the Row Operation(s) on the Given Augmented Matrix $R _ { 2 } = - 4 r _ { 1 } + r _ { 2 }$

question 34

Multiple Choice

Perform the row operation(s) on the given augmented matrix.
-(a) $R _ { 2 } = - 4 r _ { 1 } + r _ { 2 }$
(b) $R _ { 3 } = 4 r _ { 1 } + r _ { 3 }$
(c) $R _ { 3 } = 3 r _ { 2 } + r _ { 3 }$
$$\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\4 & - 5 & 2 & 5 \\- 4 & - 5 & 4 & 6\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & 28 & 90 & 5 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & 4 & 50 & 5 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & - 68 & - 70 & 5 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 17 & 22 & - 3 \\ 0 & 0 & 6 & 11 \end{array} \right]\)

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Definitions:

Standardized Mortality Rate

A mortality rate adjusted for certain factors such as age to allow comparisons between different populations or over time.

Epidemiologists

Scientists who study the distribution, determinants, and deterrence of health and disease conditions in defined populations, aiming to control health problems.

General Population

The total population or society that is not segmented by any particular criteria, such as disease status, employment, or other.

Attack Rate

The percentage of an at-risk population that contracts a disease during a specified time period.