已知A为3阶矩阵,|A|=1/2,求|(-2A)(^-1)+5A^*|.A*=|A|*A^(-1)=(1/2)*A^(-1) 而|A^(-1)|=2所以原式等于|1/2*A^(-1)-5/2*A^(-1)|=|-2*A^(-1)|=(-2)^3|A^(-1)|=-8*2=-16这个是我在网上找的答案和习题全解上的答案结果一样,但是
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![已知A为3阶矩阵,|A|=1/2,求|(-2A)(^-1)+5A^*|.A*=|A|*A^(-1)=(1/2)*A^(-1) 而|A^(-1)|=2所以原式等于|1/2*A^(-1)-5/2*A^(-1)|=|-2*A^(-1)|=(-2)^3|A^(-1)|=-8*2=-16这个是我在网上找的答案和习题全解上的答案结果一样,但是](/uploads/image/z/3761029-37-9.jpg?t=%E5%B7%B2%E7%9F%A5A%E4%B8%BA3%E9%98%B6%E7%9F%A9%E9%98%B5%2C%7CA%7C%3D1%2F2%2C%E6%B1%82%7C%28-2A%29%EF%BC%88%5E-1%EF%BC%89%2B5A%5E%2A%7C.A%2A%3D%7CA%7C%2AA%5E%28-1%29%3D%281%2F2%29%2AA%5E%28-1%29+%E8%80%8C%7CA%5E%28-1%29%7C%3D2%E6%89%80%E4%BB%A5%E5%8E%9F%E5%BC%8F%E7%AD%89%E4%BA%8E%7C1%2F2%2AA%5E%28-1%29-5%2F2%2AA%5E%28-1%29%7C%3D%7C-2%2AA%5E%28-1%29%7C%3D%28-2%29%5E3%7CA%5E%28-1%29%7C%3D-8%2A2%3D-16%E8%BF%99%E4%B8%AA%E6%98%AF%E6%88%91%E5%9C%A8%E7%BD%91%E4%B8%8A%E6%89%BE%E7%9A%84%E7%AD%94%E6%A1%88%E5%92%8C%E4%B9%A0%E9%A2%98%E5%85%A8%E8%A7%A3%E4%B8%8A%E7%9A%84%E7%AD%94%E6%A1%88%E7%BB%93%E6%9E%9C%E4%B8%80%E6%A0%B7%2C%E4%BD%86%E6%98%AF)
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