Column Space
the span of of the colomn vectors of a matrix
一个 矩阵与向量的乘积 其实就是该矩阵的列向量的线性组合。
也就是说 中，
就是在矩阵 A 的Column Space 中
问题 ： 找出 the basis of 和 该向量空间的 dimension
将矩阵变换成 RREF 的格式，此时 其他所有columns 就是 pivot column 的线性组合。Pivot columns 是 linear independent。
要记住的一点是，Column Space 不是由 RREF 矩阵中的 Pivot Columns Span而成的，而是由Pivot Column 对应的原矩阵中的向量组成的。
# Pivot Columns
Column Space the span of of the colomn vectors of a matri...
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