Viswesh Uppalapati: Numerade Educator Profile

Linear Algebra and Its Applications

In Exercises 9 and $10,\left(\text { a) for what values of } h \text { is } \mathbf{v}_{3} \text { in }\right.$
$\operatorname{Span}\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\},$ and $(b)$ for what values of $h$ is $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\}$ linearly
dependent? Justify each answer.
$\mathbf{v}_{1}=\left[\begin{array}{r}{1} \\ {-5} \\ {-3}\end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{r}{-2} \\ {10} \\ {6}\end{array}\right], \mathbf{v}_{3}=\left[\begin{array}{r}{2} \\ {-9} \\ {h}\end{array}\right]$

Chapter 1: Linear Equations in Linear Algebra

Section 7: Linear Independence