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Solve Matrix Equations
-Let A=[7740101]\mathrm { A } = \left[ \begin{array} { r r } 7 & - 7 \\ - 4 & 0 \\ 10 & - 1 \end{array} \right]

Question 36

Multiple Choice

Solve Matrix Equations
-Let A=[7740101]\mathrm { A } = \left[ \begin{array} { r r } 7 & - 7 \\ - 4 & 0 \\ 10 & - 1 \end{array} \right] and B=[1000271];4X+A=B\mathrm { B } = \left[ \begin{array} { r r } 10 & 0 \\ 0 & - 2 \\ 7 & - 1 \end{array} \right] ; \quad 4 X + A = B


A)
X=[3474112340]X=[3474112340]\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=[3474112340]X=\left[\begin{array}{cc}-\frac{3}{4} & -\frac{7}{4} \\-1 & \frac{1}{2} \\\frac{3}{4} & 0\end{array}\right]

C)
X=[374230]X=\left[\begin{array}{rr}3 & 7 \\4 & -2 \\-3 & 0\end{array}\right]

D)
X=[374230]X = \left[ \begin{array} { r r } - 3 & 7 \\ - 4 & 2 \\ 3 & 0 \end{array} \right]

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