討論串[理工] 線代
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nxn nxn. W=span{A€M |trace(A)=0} = span{A€M |Σaii = 0}. nxn n-1. =span{A€M |ann = Σ -aii}. i=1. = span{(Aij|i,j=1,...,n)\Ann,Aij代表只有aij不為0}. 我看我寫清楚一點好
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是非題. (1)The pivot columns of the reduced row echelon form of A form a basis for. the column space of A. (2)n階方陣的行向量為L.I. 則A^2之行向量亦為L.I.. (3)若A、A^-1之所有
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k. Lex N be n*n matrix such that N =O for some integer k.. prove that I+N is invertible.. [pf]:. (I+N)x=0. Nx=-x----(@). (I+N)=x. k-1. => N (I+N)x=0.
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1.The set of polynomials of degree n is a subsapce. of the vector space of all polynomials.. (F): why?. 2.The set of all m*n matrices with the usual d
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