Please can you help me to track the question below.
Q. Let T:X-->Y be a linear operator and dim X= dim Y = n <\infty . show that range R(T)=Y if and only if T^-1 exist.
Please can you help me to track the question below.
Q. Let T:X-->Y be a linear operator and dim X= dim Y = n <\infty . show that range R(T)=Y if and only if T^-1 exist.