I cannot use the matrix inverse theorem, yet I have to show this, thanks in advance.
If the equation Ax = b has at least one solution for each b in Rn, then the equation Ax = 0 has only the trivial solution.
thanks in advance
I cannot use the matrix inverse theorem, yet I have to show this, thanks in advance.
If the equation Ax = b has at least one solution for each b in Rn, then the equation Ax = 0 has only the trivial solution.
thanks in advance