If A and B are both orthogonal nxn matrices. Can anyone show That AB is orthogonal... Thanks
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If A and B are both orthogonal nxn matrices. Can anyone show That AB is orthogonal...iv been stuck on this question for a while now Thanks
Originally Posted by dopi If A and B are both orthogonal nxn matrices. Can anyone show That AB is orthogonal...iv been stuck on this question for a while now Thanks An is orthogonal iff Now suppose and be orthogonal, and let . Now , so: Hence is orthogonal. RonL
Originally Posted by CaptainBlack An is orthogonal iff Now suppose and be orthogonal, and let . Now , so: Hence is orthogonal. RonL Say if you add A and B (A+B)...would that be Orthognal?
Originally Posted by dopi Say if you add A and B (A+B)...would that be Orthognal? Not generally RonL
From the definition, we have for A and B:
Don't post the same question in two different fora. I have merged these two because they both have responses. RonL
Originally Posted by TD! From the definition, we have for A and B: This is true of any non-singlar square matrices and ! RonL
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