Suppose That You Are Solving a System of Three Linear $$\left[ \begin{array} { r r r | r } 1 & 7 & - 4 & 9 \\0 & 1 & 20 & 4 \\0 & 8 & 6 & - 9\end{array} \right]$$

question 369

Multiple Choice

Suppose that you are solving a system of three linear equations by the Gauss-Jordan method and obtain the following augmented matrix. $$\left[ \begin{array} { r r r | r } 1 & 7 & - 4 & 9 \\0 & 1 & 20 & 4 \\0 & 8 & 6 & - 9\end{array} \right]$$
What row transformation would you perform next?

• A) Multiply row 3 by \(\frac { 1 } { 6 }\).
• B) Add \(- 8\) times row 1 to 7 times row 3 .
• C) Add \(- 8\) times row 2 to row 3 .
• D) Add \(\frac { 1 } { 8 }\) times row 2 to row 3 .

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Definitions:

Mean

The arithmetic average of a set of values, calculated as the total of all values divided by the number of values.

Standard Normal

A type of normal distribution with a mean of 0 and a standard deviation of 1.

Area

In mathematics, the extent of a two-dimensional surface within a boundary, measured in square units.

Probability Density

A function that describes the relative likelihood for a continuous random variable to occur at a specific point.