Solve Matrix Equations
-Let $\mathrm { A } = \left[ \begin{array} { r r } 7 & - 7 \\ - 4 & 0 \\ 10 & - 1 \end{array} \right]$

question 36

Multiple Choice

Solve Matrix Equations
-Let $\mathrm { A } = \left[ \begin{array} { r r } 7 & - 7 \\ - 4 & 0 \\ 10 & - 1 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } 10 & 0 \\ 0 & - 2 \\ 7 & - 1 \end{array} \right] ; \quad 4 X + A = B$

• A)
• \(\mathrm { X } = \left[ \begin{array} { c c } \frac { 3 } { 4 } & \frac { 7 } { 4 } \\ 1 & - \frac { 1 } { 2 } \\ - \frac { 3 } { 4 } & 0 \end{array} \right] \quad \mathrm { X } = \left[ \begin{array} { c c } - \frac { 3 } { 4 } & - \frac { 7 } { 4 } \\ - 1 & \frac { 1 } { 2 } \\ \frac { 3 } { 4 } & 0 \end{array} \right]\)
• B)
• \(X=\left[\begin{array}{cc}
• -\frac{3}{4} & -\frac{7}{4} \\
• -1 & \frac{1}{2} \\
• \frac{3}{4} & 0
• \end{array}\right]\)
• C)
• \(X=\left[\begin{array}{rr}
• 3 & 7 \\
• 4 & -2 \\
• -3 & 0
• \end{array}\right]\)
• D)
• \(X = \left[ \begin{array} { r r } - 3 & 7 \\ - 4 & 2 \\ 3 & 0 \end{array} \right]\)

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