Marpulla 2(} 1&-2 -3&-7 pasua Bblbe pute oAMH OTBET: (} 11&0 0&-28 ) (} 10&-1 2&-18 ) (} 10&-1 0&28 ) (} 11&1 0&-28 ) (} 11&-1 -12&-28 )

To solve the given matrix expression, we need to perform scalar multiplication and matrix transpose operations.<br /><br />Given expression: $2(\begin{matrix} 1&-2\\ -3&-7\end{matrix} )+3(\begin{matrix} 3&-2\\ 1&-4\end{matrix} )^{T}$<br /><br />Step 1: Perform scalar multiplication on the first matrix.<br />$2(\begin{matrix} 1&-2\\ -3&-7\end{matrix} ) = \begin{matrix} 2&-4\\ -6&-14\end{matrix}$<br /><br />Step 2: Perform scalar multiplication on the second matrix and take the transpose.<br />$3(\begin{matrix} 3&-2\\ 1&-4\end{matrix} )^{T} = \begin{matrix} 9&-6\\ 3&-12\end{matrix}$<br /><br />Step 3: Add the resulting matrices from Step 1 and Step 2.<br />$\begin{matrix} 2&-4\\ -6&-14\end{matrix} + \begin{matrix} 9&-6\\ 3&-12\end{matrix} = \begin{matrix} 11&-10\\ -3&-26\end{matrix}$<br /><br />Therefore, the correct answer is:<br />$(\begin{matrix} 11&-10\\ -3&-26\end{matrix} )$