设 A = (A1,A2),A1为A的前n列,A2为A的后3列
则 A1C + A2D = In
取 A1 = C^-1
则 A2D = 0
即A2 满足 A2D = 0 即可.
取A2=0 即满足要求.
综上知,A = (C^-1,O) nx(n+3) 满足 题目要求.
事实上,A2 只要第1列为0,第2,3列可取任意常数.
设 A = (A1,A2),A1为A的前n列,A2为A的后3列
则 A1C + A2D = In
取 A1 = C^-1
则 A2D = 0
即A2 满足 A2D = 0 即可.
取A2=0 即满足要求.
综上知,A = (C^-1,O) nx(n+3) 满足 题目要求.
事实上,A2 只要第1列为0,第2,3列可取任意常数.