b is not in the spans of the columns of the martix A
2012-07-16 12:38
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最近在看sparse and redundant representation,可能由于不经常看类似文章的问题,有些翻译按照字面来理解根本无法理解,觉得前后矛盾。在第一页看到一句话这么说:
矩阵A式n*m的n小于m,如果b is not in the spans of columns of matrix A,那么Ax=b无解。经过和师弟讨论,师弟直接告诉我这句话意思其实就是说b无法由A线性表示。如果这个意思的话那的确无解是正确的。但是从字面上怎么也理解不到这样的解释。后来在群里和大家聊了一下,其实也的确是师弟这样的解释。仔细更看了一下英文原文, spans of columns of matrix A也就是矩阵A的列的跨度,列的跨度就是行数吧?如果b的行数和A的列的行数不一样的话,那的确是无解的。。
这也算是理解到了。。其实回过头来如果仔细翻译了英文的原文意思,也应该可以理解到这句话是正确的吧。。
矩阵A式n*m的n小于m,如果b is not in the spans of columns of matrix A,那么Ax=b无解。经过和师弟讨论,师弟直接告诉我这句话意思其实就是说b无法由A线性表示。如果这个意思的话那的确无解是正确的。但是从字面上怎么也理解不到这样的解释。后来在群里和大家聊了一下,其实也的确是师弟这样的解释。仔细更看了一下英文原文, spans of columns of matrix A也就是矩阵A的列的跨度,列的跨度就是行数吧?如果b的行数和A的列的行数不一样的话,那的确是无解的。。
这也算是理解到了。。其实回过头来如果仔细翻译了英文的原文意思,也应该可以理解到这句话是正确的吧。。
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