看它们的列向量组分别是 a1,...,an 与 a1,...,an,b若b可由a1,...,an 线性表示,则 r(A)=r(a1,...,an) = r(a1,...,an,b) = r(A,b)否则,r(A,b)=r(a1,...,an,b) = r(a1,...,an) + 1