2[(a1,b1)^T+(a2,b2)^T] =2(a1+a2+1,b1+b2+1)^T = (2a1+2a2+2,2b1+2b2+2)^T
2(a1,b1)^T+2(a2,b2)^T = (2a1+2a2+1,2b1+2b2+1)^T
所以 2[(a1,b1)^T+(a2,b2)^T] ≠ 2(a1,b1)^T+2(a2,b2)^T
故不是向量空间.
2[(a1,b1)^T+(a2,b2)^T] =2(a1+a2+1,b1+b2+1)^T = (2a1+2a2+2,2b1+2b2+2)^T
2(a1,b1)^T+2(a2,b2)^T = (2a1+2a2+1,2b1+2b2+1)^T
所以 2[(a1,b1)^T+(a2,b2)^T] ≠ 2(a1,b1)^T+2(a2,b2)^T
故不是向量空间.