线性代数提高向量组与秩linear-algebra-3:线性代数:2:二-向量组与方程组:选择题:29:74选择题不看本题本题讨论已掌握查看解析收入错题#11073(仅数一)如图所示，有 3 张平面两两相交，交线相互平行，它们的方程 ai1x+ai2y+ai3z= di(i=1,2,3){a}_{i1}x + {a}_{i2}y + {a}_{i3}z = \; {d}_{i}\left({i = 1,2,3}\right)ai1x+ai2y+ai3z=di(i=1,2,3),组成的线性方程组的系数矩阵和增广矩阵分别记为 A,AˉA,\bar{A}A,Aˉ,则‾\underline{\qquad}A. r(A)=2,r(Aˉ)=3r\left(A\right) = 2,r\left(\bar{A}\right) = 3r(A)=2,r(Aˉ)=3.B. r(A)=2,r(Aˉ)=2r\left(A\right) = 2,r\left(\bar{A}\right) = 2r(A)=2,r(Aˉ)=2.C. r(A)=1,r(Aˉ)=2r\left(A\right) = 1,r\left(\bar{A}\right) = 2r(A)=1,r(Aˉ)=2.D. r(A)=1,r(Aˉ)=1r\left(A\right) = 1,r\left(\bar{A}\right) = 1r(A)=1,r(Aˉ)=1.
