(β组) = (α组) KK =1 0 0 ... 0 11 1 0 ... 0 00 1 1 ... 0 0...0 0 0 ... 1 00 0 0 ... 1 1由于α组线性无关所以 r(β组) = r(K)|K| = 1 + (-1)^(n-1).所以 n为偶数时, |K|=0, r(β组)=r(K)n为奇数时, |K|=2≠0, r(β组)=r(K)=n, 故 β 组 线性无关