[理工] 線代
1.Suppose A is a 3*3 real matrix , and satisfies (A^2+A+I)(A+2I)=0
(1)show thata is nonsigular.
(2)Express A^-1 as a polynomail of A. Is your expression unique?
(3)Let V be the set of all 3*3 matrices satisfying (e). Is V a vector space?
(4)find A^-1
3的解答是V={A|(A^2+A+I)(A+2I)=0,A屬於R^3*3},因為0不屬於V,V不是向量空間
我看不懂的是0不屬於V,這句話是什麼意思??
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