91Ó°ÊÓ

If a system of linear equations has infinitely many solutions, then the system is called __________. If a system of linear equations has no solution, then the system is called _________.

Find the values of \(a\) and \(b\) that make the matrices \(A\) and \(B\) equal. $$A=\left[\begin{array}{rr} 3 & 4 \\ -1 & a \end{array}\right] \quad B=\left[\begin{array}{rr} b & 4 \\ -1 & -5 \end{array}\right]$$

Graph the inequality. $$y \geq 2$$

Find the determinant of the matrix, if it exists. $$\left[\begin{array}{ll} 2 & 5 \end{array}\right]$$

Graph the inequality. $$x \leq-1$$

Evaluate the minor and cofactor using the matrix \(A\). $$A=\left[\begin{array}{rrr} 1 & 0 & \frac{1}{2} \\ -3 & 5 & 2 \\ 0 & 0 & 4 \end{array}\right]$$ $$M_{23}, A_{23}$$

Find the partial fraction decomposition of the rational function. $$\frac{x+14}{x^{2}-2 x-8}$$

Find all solutions of the system of equations. $$\left\\{\begin{array}{l} y=4-x^{2} \\ y=x^{2}-4 \end{array}\right.$$

Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded. $$\left\\{\begin{aligned} x+y & \leq 4 \\ y & \geq x \end{aligned}\right.$$

Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded. $$\left\\{\begin{aligned} x &>2 \\ y &<12 \\ 2 x-4 y &>8 \end{aligned}\right.$$