线性代数,n阶矩阵
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线性代数,n阶矩阵
![](http://img.wesiedu.com/upload/b/71/b71d3446dd5be4bd645e8e3659629f87.jpg)
![](http://img.wesiedu.com/upload/b/71/b71d3446dd5be4bd645e8e3659629f87.jpg)
![线性代数,n阶矩阵](/uploads/image/z/5643647-71-7.jpg?t=%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%2Cn%E9%98%B6%E7%9F%A9%E9%98%B5)
A^2 = 2A
A^3 = AA^2 = 2AA = 2A^2
A^4 = A^2A^2 = 2A^3
...
A^n = 2A^(n-1)
所以 A^n - 2A^(n-1) = 0
A^3 = AA^2 = 2AA = 2A^2
A^4 = A^2A^2 = 2A^3
...
A^n = 2A^(n-1)
所以 A^n - 2A^(n-1) = 0