矩阵A 满足多项式 f(A)=0 比如 A²+A=0 或者A²+A=E 那么A的特征值也可以满足么多项式么?A²+A=0能推出λ²+λ=0么 我知道λ²+λ=0 能推出A²+A=0 书上写的特征多项式f(λ为特征多项式
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![矩阵A 满足多项式 f(A)=0 比如 A²+A=0 或者A²+A=E 那么A的特征值也可以满足么多项式么?A²+A=0能推出λ²+λ=0么 我知道λ²+λ=0 能推出A²+A=0 书上写的特征多项式f(λ为特征多项式](/uploads/image/z/2835384-24-4.jpg?t=%E7%9F%A9%E9%98%B5A+%E6%BB%A1%E8%B6%B3%E5%A4%9A%E9%A1%B9%E5%BC%8F+f%28A%29%3D0+%E6%AF%94%E5%A6%82+A%26%23178%3B%2BA%3D0+%E6%88%96%E8%80%85A%26%23178%3B%2BA%3DE+%E9%82%A3%E4%B9%88A%E7%9A%84%E7%89%B9%E5%BE%81%E5%80%BC%E4%B9%9F%E5%8F%AF%E4%BB%A5%E6%BB%A1%E8%B6%B3%E4%B9%88%E5%A4%9A%E9%A1%B9%E5%BC%8F%E4%B9%88%3FA%26%23178%3B%2BA%3D0%E8%83%BD%E6%8E%A8%E5%87%BA%CE%BB%26%23178%3B%2B%CE%BB%3D0%E4%B9%88+%E6%88%91%E7%9F%A5%E9%81%93%CE%BB%26%23178%3B%2B%CE%BB%3D0+%E8%83%BD%E6%8E%A8%E5%87%BAA%26%23178%3B%2BA%3D0+%E4%B9%A6%E4%B8%8A%E5%86%99%E7%9A%84%E7%89%B9%E5%BE%81%E5%A4%9A%E9%A1%B9%E5%BC%8Ff%28%CE%BB%E4%B8%BA%E7%89%B9%E5%BE%81%E5%A4%9A%E9%A1%B9%E5%BC%8F)
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