91Ó°ÊÓ

Find the dimension of each matrix. Identify any square, column, or row matrices. Do not use a calculator. $$\left[\begin{array}{l} 2 \\ 4 \end{array}\right]$$

Determine whether A and B are inverses by calculating AB and BA. Do not use a calculator. $$A=\left[\begin{array}{rrr} 0 & 1 & 0 \\ 0 & 0 & -2 \\ 1 & -1 & 0 \end{array}\right] ; B=\left[\begin{array}{rrr} 1 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & -1 & 0 \end{array}\right]$$

Graph each inequality. Do not use a calculator. $$2 x+3 y \geq 4$$

Find the partial fraction decomposition for each rational expression. $$\frac{5 x-3}{(x+1)(x-3)}$$

Find each determinant. Do not use a calculator. $$\operatorname{det}\left[\begin{array}{ll}0 & 2 \\\1 & 5\end{array}\right]$$

Verify that the given ordered triple is a solution of the system. Do not use a calculator. \begin{aligned} &\text\\\\\left(\frac{1}{2}, \frac{1}{2},-2\right)\\\ &3 x+y+z=0\\\ &4 x+2 y+z=1\\\ &2 x-2 y-z=2 \end{aligned}

Determine whether A and B are inverses by calculating AB and BA. Do not use a calculator. $$A=\left[\begin{array}{lll} 1 & 2 & 0 \\ 0 & 1 & 0 \\ 0 & 1 & 0 \end{array}\right] ; B=\left[\begin{array}{rrr} 1 & -2 & 0 \\ 0 & 1 & 0 \\ 0 & -1 & 1 \end{array}\right]$$

Graph each inequality. Do not use a calculator. $$4 y-3 x<5$$

Find the dimension of each matrix. Identify any square, column, or row matrices. Do not use a calculator. $$\left[\begin{array}{ll} 4 & 9 \end{array}\right]$$

Find the dimension of each matrix. Identify any square, column, or row matrices. Do not use a calculator. $$[-9]$$