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cises 11–14, find the value(s) of h for which the vectors
Chapter 1, Problem 13E(choose chapter or problem)
In Exercises 11–14, find the value(s) of h for which the vectors are linearly dependent. Justify each answer.
\(\left[\begin{array}{r}1 \\ 5 \\ -3\end{array}\right],\left[\begin{array}{r}-2 \\ -9 \\ 6\end{array}\right],\left[\begin{array}{r}3 \\ h \\ -9\end{array}\right]\)
Questions & Answers
QUESTION:
In Exercises 11–14, find the value(s) of h for which the vectors are linearly dependent. Justify each answer.
\(\left[\begin{array}{r}1 \\ 5 \\ -3\end{array}\right],\left[\begin{array}{r}-2 \\ -9 \\ 6\end{array}\right],\left[\begin{array}{r}3 \\ h \\ -9\end{array}\right]\)
ANSWER:SolutionStep 1In this problem we need to find the value of h for which the vectors are linearly dependent.Given: Linearly Dependent: The set is said to be linearly dependent if there exists scalars not all zero, such that Let Given that the vectors are linearly dependent.Therefore there exists scalars not all zero, such that Thus