设a1,a2,^,a,为n维向量组,且秩 (a1,a2,^,a)=r,则()
设a1,a2,^,a,为n维向量组,且秩 (a1,a2,^,a)=r,则()
设A为n阶矩阵,a1,a2,a3是n维列向量,且a1不等于0,Aa1=a1,Aa2=a1+a2,A
设a1,a2为n维列向量,A为n阶正交矩阵,证明[Aa1,Aa2]=[a1,a2]
设n维向量组a1,a2,...,as的秩等于r,如果r=s,则任何n维向量都可用a1,a2,...
a1a2a3a4为n元向量且r(a1,a2,a3)=2r(a2,a3,a4)=3证明 a1能由[a2,a3]线性表出 a
已知a1,a2为二维列向量,矩阵A=(a1,a2),B=(a1+a1,a2-a2),|A|=2,则|B|=?
设矩阵A=(a1,a2,a3,a4)的秩r(A)=3,且a1=a2+a3.设β=a1+a2+a3+a4,则线性方程组Ax
设a1,a2为n维列向量,A为n阶正交矩阵,证明:(1)[Aa1,Aa2]=[a1,a2] (2){Aa1}={a1}
设a1,a2,a3均为3维列向量,A=(a1,a2,a3).B=(a1+a2+a3,a1+2a2+4a3,a1+3a2+
设A为n阶正定矩阵,a1,a2.am为n维非零列向量,且ai^TAaj=0,证明:a1,a2.am线性无关
设A为n阶矩阵,r(A)=1,求证:(1)A=(a1 a2 .an)(列向量)*(b1,b2.bn ) (2) A^2=
设A3的列向量组为a1,a2,a3,且|A|=3,B=(2a1+a3,a3,a2),则|B|=?