91Ó°ÊÓ

Solve each matrix equation. $$ \left[\begin{array}{rrr}{6} & {10} & {-13} \\ {4} & {-2} & {7} \\ {0} & {9} & {-8}\end{array}\right] X=\left[\begin{array}{l}{84} \\ {18} \\\ {56}\end{array}\right] $$

Evaluate the determinant of each matrix. $$ \left[\begin{array}{ll}{5} & {2} \\ {1} & {3}\end{array}\right] $$

Solve each system of equations. Check your answers. $$ \left\\{\begin{aligned} 2 x+3 y &=12 \\ x+2 y &=7 \end{aligned}\right. $$

Refer to matrices \(A\) and \(B\) at the right. Identify each matrix element. \(A=\left[\begin{array}{rr}{0} & {-1} \\ {1.5} & {3} \\ {7} & {-2}\end{array}\right] \quad B=\left[\begin{array}{lll}{6} & {-3} & {\frac{1}{2}}\end{array}\right]\) \(a_{12}\)

Write a system of equations for each augmented matrix. $$ \left[\begin{array}{rrr|r}{2} & {1} & {1} & {1} \\ {1} & {1} & {1} & {2} \\\ {1} & {-1} & {1} & {-2}\end{array}\right] $$

Graph each figure and its image after reflection in the given line. \(\left[\begin{array}{ccc}{-1} & {0} & {5} \\ {-1} & {5} & {0}\end{array}\right] ; y\) -axis

Solve each system of equations. Check your answers. $$ \left\\{\begin{aligned} 2 x+3 y &=5 \\ x+2 y &=6 \end{aligned}\right. $$

Use an augmented matrix to solve each system. $$ \left\\{\begin{array}{l}{2 x-2 y=15} \\ {4 x+4 y=10}\end{array}\right. $$

Find each product. $$ \left[\begin{array}{rr}{1} & {0} \\ {2} & {-3}\end{array}\right]\left[\begin{array}{rr}{-3} & {4} \\ {5} & {2}\end{array}\right] $$

Evaluate the determinant of each matrix. $$ \left[\begin{array}{ll}{2} & {-1} \\ {5} & {-4}\end{array}\right] $$