H hayood New member Joined Feb 16, 2010 Messages 37 Feb 16, 2010 #1 Prove that a square matrix A is invertible if and only if Atranspose A is invertible. i dont know how to prove it. if anyone can offer some help please let me know thanks
Prove that a square matrix A is invertible if and only if Atranspose A is invertible. i dont know how to prove it. if anyone can offer some help please let me know thanks
T tutor_joel Junior Member Joined Feb 6, 2010 Messages 157 Feb 16, 2010 #2 I believe that A is invertible iff det(A) is not zero and iff det(A^TA) is not zero. Does that ring a bell? det being the determinant
I believe that A is invertible iff det(A) is not zero and iff det(A^TA) is not zero. Does that ring a bell? det being the determinant