伴随矩阵行列式的求法证明问题│A*│=│A│^(n-1)证明:A*=|A|A^(-1)│A*│=|│A│*A^(-1)|│A*│=│A│^(n)*|A^(-1)|│A*│=│A│^(n)*|A|^(-1)│A*│=│A│^(n-1) 其中证明后的第3步以及以后就不懂了.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 17:16:17
![伴随矩阵行列式的求法证明问题│A*│=│A│^(n-1)证明:A*=|A|A^(-1)│A*│=|│A│*A^(-1)|│A*│=│A│^(n)*|A^(-1)|│A*│=│A│^(n)*|A|^(-1)│A*│=│A│^(n-1) 其中证明后的第3步以及以后就不懂了.](/uploads/image/z/1055811-3-1.jpg?t=%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5%E8%A1%8C%E5%88%97%E5%BC%8F%E7%9A%84%E6%B1%82%E6%B3%95%E8%AF%81%E6%98%8E%E9%97%AE%E9%A2%98%E2%94%82A%2A%E2%94%82%3D%E2%94%82A%E2%94%82%5E%28n-1%29%E8%AF%81%E6%98%8E%EF%BC%9AA%2A%3D%7CA%7CA%5E%28-1%29%E2%94%82A%2A%E2%94%82%3D%7C%E2%94%82A%E2%94%82%2AA%5E%28-1%29%7C%E2%94%82A%2A%E2%94%82%3D%E2%94%82A%E2%94%82%5E%28n%29%2A%7CA%5E%28-1%29%7C%E2%94%82A%2A%E2%94%82%3D%E2%94%82A%E2%94%82%5E%28n%29%2A%7CA%7C%5E%28-1%29%E2%94%82A%2A%E2%94%82%3D%E2%94%82A%E2%94%82%5E%28n-1%29+%E5%85%B6%E4%B8%AD%E8%AF%81%E6%98%8E%E5%90%8E%E7%9A%84%E7%AC%AC3%E6%AD%A5%E4%BB%A5%E5%8F%8A%E4%BB%A5%E5%90%8E%E5%B0%B1%E4%B8%8D%E6%87%82%E4%BA%86.)
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