Solve the Problem $\mathrm { A } = \left[ \begin{array} { r r r } 2 & 3 & 1 \\ 8 & - 7 & 5 \end{array} \right]$

question 41

Multiple Choice

Solve the problem.
-Let $\mathrm { A } = \left[ \begin{array} { r r r } 2 & 3 & 1 \\ 8 & - 7 & 5 \end{array} \right]$ and $\mathbf { u } = \left[ \begin{array} { l } 3 \\ 7 \\ 2 \end{array} \right]$ .
Define a transformation $\mathrm { T } : \mathcal { R } ^ { 3 } \rightarrow > \mathcal { R } ^ { 2 }$ by $\mathrm { T } ( \mathbf { x } ) = \mathrm { Ax }$ . Find $\mathrm { T } ( \mathbf { u } )$ , the image of $\mathbf { u }$ under the transformation $\mathrm { T }$ .

• A)
• \(\left[ \begin{array} { r } 29 \\ - 15 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r } 6 & 21 & 2 \\ 24 & - 49 & 10 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l } 18 \\ 42 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r } 30 \\ - 28 \\ 12 \end{array} \right]\)

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