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Chris
Posts:
8
From:
NC
Registered:
10/29/06


Orthogonality proof
Posted:
Mar 11, 2007 10:21 PM


I was studying for a linera algebra quiz on proofs tomorrow so if anyone could show me how the following is done, that would be great!
An orthogonal matrix is one for which A^T = A^1 (meaning A transpose = inverse of A).
Prove that if a matrix A is orthogonal, then any two distinct columns of A have dot product zero.
Is this true for the converse of this statement as well? Justify your answer.



