Solve the Problem $$\left[ \begin{array} { c } - 5 \\- 6 \\5\end{array} \right] , \left[ \begin{array} { c } 20 \\24 \\h\end{array} \right]$$

question 56

Multiple Choice

Solve the problem.
-For what values of h are the given vectors linearly independent? $$\left[ \begin{array} { c } - 5 \\- 6 \\5\end{array} \right] , \left[ \begin{array} { c } 20 \\24 \\h\end{array} \right]$$

• A) Vectors are linearly independent for \(h \neq - 20\)
• B) Vectors are linearly independent for all \(h\)
• C) Vectors are linearly dependent for all \(h\)
• D) Vectors are linearly independent for \(h = - 20\)

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Definitions:

Standard Error

A statistical measure that indicates the accuracy with which a sample distribution represents a population by measuring the dispersion of sample means around the population mean.

Coefficient Of Determination

A statistic that quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable(s), often symbolized as R^2.

Test Statistic

A statistic derived from the data of a sample during a hypothesis test that determines if the null hypothesis should be discarded.

Value Of F

In the context of statistical testing, it refers to the calculated statistic used in the F-test to determine whether two population variances are equal.