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Problem 22

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} -8 & -5 \\ 3 & 2 \end{array}\right], \quad B=\left[\begin{array}{rr} -2 & -5 \\ 3 & 8 \end{array}\right] $$

Problem 22

For Problems \(19-26\), compute \(A B\). $$ A=\left[\begin{array}{rr} 5 & 2 \\ -1 & -3 \end{array}\right], \quad B=\left[\begin{array}{r} 3 \\ -5 \end{array}\right] $$

Problem 23

For Problems \(1-24\), indicate the solution set for each system of inequalities by graphing the system and shading the appropriate region. $$ \left(\begin{array}{r} x \geq 0 \\ y \geq 0 \\ 2 x+y \leq 4 \\ 2 x-3 y \leq 6 \end{array}\right) $$

Problem 23

For Problems \(19-26\), compute \(A B\). $$ A=\left[\begin{array}{rr} -4 & 2 \\ 7 & -5 \end{array}\right], \quad \bar{B}=\left[\begin{array}{l} -1 \\ -4 \end{array}\right] $$

Problem 23

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} \frac{1}{2} & -\frac{1}{3} \\ \frac{1}{3} & \frac{1}{4} \end{array}\right], \quad B=\left[\begin{array}{rr} 4 & -6 \\ 6 & -4 \end{array}\right] $$

Problem 24

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} \frac{1}{3} & -\frac{1}{2} \\ \frac{3}{2} & -\frac{2}{3} \end{array}\right], \quad B=\left[\begin{array}{cc} -6 & -18 \\ 12 & -12 \end{array}\right] $$

Problem 24

For Problems \(1-24\), indicate the solution set for each system of inequalities by graphing the system and shading the appropriate region. $$ \left(\begin{array}{rl} x & \geq 0 \\ y & \geq 0 \\ 3 x+5 y & \geq 15 \\ 5 x+3 y & \geq 15 \end{array}\right) $$

Problem 24

For Problems \(19-26\), compute \(A B\). $$ A=\left[\begin{array}{rr} 0 & -3 \\ 2 & 9 \end{array}\right], \quad B=\left[\begin{array}{l} -\overline{3} \\ -6 \end{array}\right] $$

Problem 25

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{ll} 5 & 6 \\ 2 & 3 \end{array}\right], \quad B=\left[\begin{array}{rr} 1 & -2 \\ -\frac{2}{3} & \frac{5}{3} \end{array}\right] $$

Problem 25

For Problems \(19-26\), compute \(A B\). $$ A=\left[\begin{array}{ll} -2 & -3 \\ -5 & -6 \end{array}\right], \quad B=\left[\begin{array}{r} 5 \\ -2 \end{array}\right] $$

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