What is the intuitive meaning of left multiply elemantary matrix, say $E_1,E_2,E_3$? Since an elementary matrix is a "matrix"(for example, $\begin{bmatrix}0&1&0\\1&0&0\\0&0&1\end{bmatrix}$, $\begin{bmatrix}k&0&0\\0&1&0\\0&0&1\end{bmatrix}$, etc.), then it must corresponding to a linear transformation. Then what is the intuitive meaning of applying such linear transformation?
2026-03-27 13:47:34.1774619254
What is the intuitive meaning of left multiply elemantary matrix as a linear transformation?
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