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Topic: Orthogonality proof
Replies: 1   Last Post: Mar 12, 2007 4:30 PM

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Chris

Posts: 8
From: NC
Registered: 10/29/06
Orthogonality proof
Posted: Mar 11, 2007 10:21 PM
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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.


Date Subject Author
3/11/07
Read Orthogonality proof
Chris
3/12/07
Read Re: Orthogonality proof
G.E. Ivey

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