Question

线性代数关于矩阵的问题、Suppose that AX = B is the matrix representation

Answer 1

it's easy to see that if Z1 and Z2 is the solutions of the linear system,then any combination of them is also the solution according to the definition of linear.you can do a little opearor such as :

AY1=B,AY2=B,so A(2Y1-Y2)=2AY1-AY2=2B-B=B...OK get the result~