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因為r(A+3E)=2 所以|A+3E| = 0 所以-3是A的特徵值 所以A的全部特徵值為-1,-2,-3 所以A+4E的特徵值為(λ+4):3,2,1 所以|A+4E| = 3*2*1 = 6.
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