{"topic":{"id":13834,"title":"请问，有可以把矩阵快速等价标准形的方法吗","slug":"topic","categoryId":14,"createdAt":"2024-11-09 03:24:22.806021","bumpedAt":"2024-11-09 12:06:12.247186","views":168,"postsCount":2,"highestPostNumber":2,"likeCount":0,"closed":false,"pinned":false,"pinnedGlobally":false,"pinnedAt":null,"pinnedUntil":null,"isBanner":false,"excerpt":"知乎上搜了一下，发现这个办法，但是试了一下，可是好像没用不清楚是哪里错了，请教","deletedAt":null,"isAnonymous":false,"category":{"id":14,"name":"问答","slug":"qa","color":"f5c211"},"author":{"id":5797,"username":"dither","name":null,"avatarUrl":null},"tags":[]},"posts":[{"id":42996,"postNumber":1,"raw":"[grid mode=\"tile\"]\n![image|690x271](/uploads/image/d9/ee/d9ee82c9e5e9b60557edb314ebfc7da0f4cfc554e3ec584101f4f283a48e6829.avif)\n![image|380x499](/uploads/image/83/2c/832cef3641fcd18b09dad266a5d9befdde0ef2b0d8f6efd09ba7457de8c6e5a1.avif)\n[/grid]\n\n\n知乎上搜了一下，发现这个办法，但是试了一下，可是好像没用不清楚是哪里错了，请教","cooked":"

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知乎上搜了一下，发现这个办法，但是试了一下，可是好像没用不清楚是哪里错了，请教

\n","createdAt":"2024-11-09 03:24:23.093638","updatedAt":"2024-11-09 03:24:23.093638","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":44,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":5797,"username":"dither","name":null,"avatarUrl":null,"admin":false,"moderator":false,"signatureRaw":null,"signatureCooked":null}},{"id":43039,"postNumber":2,"raw":"去知乎看了一下，他这个方法后面还有，就是把还没有除了第一行第一列，剩下的那部分重复第一段的方法，依次类推直到化为标准型。\n求矩阵的标准型可以通过求矩阵的秩。直接使用行变换得到矩阵或者转置矩阵的行阶梯形。利用矩阵的标准型和矩阵等秩可以直接得到标准型。\n不过一般常见的求标准型是求二次型的标准型和矩阵的标准型不是一个概念。","cooked":"

去知乎看了一下，他这个方法后面还有，就是把还没有除了第一行第一列，剩下的那部分重复第一段的方法，依次类推直到化为标准型。
\n求矩阵的标准型可以通过求矩阵的秩。直接使用行变换得到矩阵或者转置矩阵的行阶梯形。利用矩阵的标准型和矩阵等秩可以直接得到标准型。
\n不过一般常见的求标准型是求二次型的标准型和矩阵的标准型不是一个概念。

\n","createdAt":"2024-11-09 12:06:12.247186","updatedAt":"2024-11-09 12:06:12.247186","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":157,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":290,"username":"nullptr","name":null,"avatarUrl":null,"admin":false,"moderator":false,"signatureRaw":null,"signatureCooked":null}}],"hasMore":false,"lastReadPostNumber":2,"hasUrlPostNumber":true}