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:

House's Path-Goal

A leadership theory that suggests leaders can increase subordinate satisfaction and performance by clarifying and clearing the paths to their goals, taking into account the work environment and the characteristics of the employees.

Worker Self-Confidence

The belief employees have in their own abilities to carry out tasks and achieve goals.

Substitutes for Leadership

Factors or conditions that make the direct leadership less necessary or irrelevant, such as highly routine jobs or comprehensive work processes.

Work Setting

The surroundings, both social and physical, where individuals carry out their work.