Activity title: Matrices Sample
Equation Editor preferences (Check your selection):
☒ Include default Equation Editor
☐ Include customized Equation Editor
Question stem (use LaTeX if needed): Express $$ \begin{bmatrix} 4 \\ 7 \\ -11 \end{bmatrix} $$ as a linear combination of $$ \begin{bmatrix} 1 \\ 1 \\-2 \end{bmatrix}, \begin{bmatrix} -3 \\ -5 \\ 8 \end{bmatrix} $$.
Correct answer (use LaTeX if needed): $$\begin{bmatrix} 4 \\ 7 \\ -11 \end{bmatrix}$$ = <<$$-\frac{1}{2}$$##$$\frac{-1}{2}$$##-1/2>>$$\begin{bmatrix} 1 \\ 1 \\ -2 \end{bmatrix}$$ $$+ \ \bigg($$<<$$-\frac{3}{2}$$##$$\frac{-3}{2}$$##-3/2>>$$\bigg)$$ $$\begin{bmatrix} -3 \\ -5 \\ 8 \end{bmatrix}$$