Linear maps: Linear maps
Linear maps determined by matrices
Let #L_A# be the linear map #\mathbb{R}^3\to\mathbb{R}^2# determined by the matrix \[A = \matrix{-2 & 1 & -2 \\ 1 & -2 & 2}\]
What is the image of #\left[ 1 , 2 , -2 \right] # under #L_A#?
Give your answer in the form of a row vector.
| \( L_A \left( \left[ 1 , 2 , -2 \right] \right)=\) |
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