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Answers for “为什么在应用矩阵变换之前要将列向量重写为标准基向量的形式?”

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The missing middle column is [0−169]\begin{bmatrix} 0 \\ -16 \\ 9 \end{bmatrix}. This is obtained by applying the transformation A to the middle column of B, which is [023]\begin{bmatrix} 0 \\ 2 \\ 3 \end{bmatrix}.

Conditions: A and B are the specific 3x3 matrices shown in the video.; The method of column-wise composition is used.