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Problem 11

For Problems \(1-18\), find the multiplicative inverse (if one exists) of each matrix. $$ \left[\begin{array}{ll} 0 & 1 \\ 5 & 3 \end{array}\right] $$

Problem 11

For Problems \(9-20\), find \(A B\) and \(B A\), whenever they exist. $$ A=\left[\begin{array}{llr} 2 & -1 & -3 \\ 0 & -4 & 7 \end{array}\right], \quad B=\left[\begin{array}{rrrr} 2 & 1 & -1 & 4 \\ 0 & -2 & 3 & 5 \\ -6 & 4 & -2 & 0 \end{array}\right] $$

Problem 12

For Problems \(1-18\), find the multiplicative inverse (if one exists) of each matrix. $$ \left[\begin{array}{ll} -2 & 0 \\ -3 & 5 \end{array}\right] $$

Problem 12

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

Problem 12

For Problems \(9-20\), find \(A B\) and \(B A\), whenever they exist. $$ A=\left[\begin{array}{rrr} 3 & -1 & -4 \\ -5 & 2 & 2 \end{array}\right], \quad B=\left[\begin{array}{rr} 3 & -2 \\ -4 & -1 \end{array}\right] $$

Problem 12

For Problems \(1-12\), compute the indicated matrix by using the following matrices: \(\begin{array}{ll} A=\left[\begin{array}{rr} 1 & -2 \\ 3 & 4 \end{array}\right] & B=\left[\begin{array}{lr} 2 & -3 \\ 5 & -1 \end{array}\right] \\ C=\left[\begin{array}{rr} 0 & 6 \\ -4 & 2 \end{array}\right] & D=\left[\begin{array}{rr} -2 & 3 \\ 5 & -4 \end{array}\right] \\ E=\left[\begin{array}{lr} 2 & 5 \\ 7 & 3 \end{array}\right] & \end{array}\) $$ A-(B+C) $$

Problem 13

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

Problem 13

For Problems \(9-20\), find \(A B\) and \(B A\), whenever they exist. $$ A=\left[\begin{array}{rrr} 1 & -1 & 2 \\ 0 & 1 & -2 \\ 3 & 1 & 4 \end{array}\right], \quad B=\left[\begin{array}{rrr} 2 & 3 & -1 \\ 4 & 0 & 2 \\ -5 & 1 & -1 \end{array}\right] $$

Problem 13

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

Problem 14

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

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