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Problem 14

For Problems \(9-20\), find \(A B\) and \(B A\), whenever they exist. $$ A=\left[\begin{array}{rrr} 1 & 0 & 1 \\ 0 & 1 & 1 \\ -1 & 2 & 3 \end{array}\right], \quad B=\left[\begin{array}{rrr} -1 & -1 & 1 \\ 0 & 1 & 0 \\ 2 & -3 & 1 \end{array}\right] $$

Problem 14

For Problems \(1-18\), find the multiplicative inverse (if one exists) of each matrix. $$ \left[\begin{array}{ll} -2 & -5 \\ -3 & -6 \end{array}\right] $$

Problem 14

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} -3 & 4 \\ 2 & 1 \end{array}\right], \quad B=\left[\begin{array}{rr} -2 & 5 \\ 6 & -1 \end{array}\right] $$

Problem 15

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} 1 & -3 \\ -4 & 6 \end{array}\right], \quad B=\left[\begin{array}{rr} 7 & -3 \\ 4 & 5 \end{array}\right] $$

Problem 15

For Problems \(1-18\), find the multiplicative inverse (if one exists) of each matrix. $$ \left[\begin{array}{ll} -2 & 5 \\ -3 & 6 \end{array}\right] $$

Problem 15

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

Problem 16

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}{l} y

Problem 16

For Problems \(1-18\), find the multiplicative inverse (if one exists) of each matrix. $$ \left[\begin{array}{rr} -3 & 4 \\ 1 & -2 \end{array}\right] $$

Problem 16

For Problems \(9-20\), find \(A B\) and \(B A\), whenever they exist. $$ A=\left[\begin{array}{r} -2 \\ 3 \\ -5 \end{array}\right], \quad B=\left[\begin{array}{ccc} 3 & -4 & -5 \end{array}\right] $$

Problem 16

For Problems \(13-26\), compute \(A B\) and \(B A\). $$ A=\left[\begin{array}{rr} 5 & 0 \\ -2 & 3 \end{array}\right], \quad B=\left[\begin{array}{rr} -3 & 6 \\ 4 & 1 \end{array}\right] $$

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