B buddy549 New member Joined Oct 6, 2016 Messages 1 Oct 6, 2016 #1 I do not know how to go about this problem. Let A, B and A+B be non-singular matrices. Prove that A-1+B-1 is non singular by showing that: (A-1+B-1) -1= A(A+B)-1B
I do not know how to go about this problem. Let A, B and A+B be non-singular matrices. Prove that A-1+B-1 is non singular by showing that: (A-1+B-1) -1= A(A+B)-1B
I Ishuda Elite Member Joined Jul 30, 2014 Messages 3,342 Oct 6, 2016 #2 buddy549 said: I do not know how to go about this problem. Let A, B and A+B be non-singular matrices. Prove that A-1+B-1 is non singular by showing that: (A-1+B-1) -1= A(A+B)-1B Click to expand... Do you know how to take inverses of products? That is (AB)-1 = B-1 A-1 If not, proving that may help.
buddy549 said: I do not know how to go about this problem. Let A, B and A+B be non-singular matrices. Prove that A-1+B-1 is non singular by showing that: (A-1+B-1) -1= A(A+B)-1B Click to expand... Do you know how to take inverses of products? That is (AB)-1 = B-1 A-1 If not, proving that may help.
I Ishuda Elite Member Joined Jul 30, 2014 Messages 3,342 Oct 7, 2016 #3 janessa642 said: plz explain... Click to expand... Just to be a little bit more helpful, take inverses of both sides.
janessa642 said: plz explain... Click to expand... Just to be a little bit more helpful, take inverses of both sides.
