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矩阵视角的elimination

Another perspective of matrix multiplication (row-based/column based)

  • Q: How to represent “substract 3$\times$ row 1 from row 2” in matrix form?

  • A:

    [1,0,0] -> the first row of the output is a row combination of 1 first row, 0 second row and 0 third row

    [-3,1,0] $\times$M ->-> the second row of the output is a row combination of -3 first row, 1 second row and 0 third row

    [0,0,1]

实在是太美了。为什么之前没好好听课 就抱着高中奥赛的东西乐享其成呢。