Show that matrix A is orthogonal...

I know that to be orthogonal the dot product must equal to 0.

but how do i go on about showing that this matrix is orthogonal??

http://img252.imageshack.us/img252/4...rixaal4.th.jpg

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- Mar 17th 2008, 01:19 AMb00yeah05orthogonal matrix
Show that matrix A is orthogonal...

I know that to be orthogonal the dot product must equal to 0.

but how do i go on about showing that this matrix is orthogonal??

http://img252.imageshack.us/img252/4...rixaal4.th.jpg - Mar 17th 2008, 01:50 AMMoo
Hello,

A matrix is orthogonal if $\displaystyle MM^t = M^t M = Id$

If $\displaystyle M=(a_{ij})$, $\displaystyle M^t = (a_{ji})$ - Mar 17th 2008, 01:52 AMearboth
- Mar 17th 2008, 02:21 AMb00yeah05
from my definition it says that it is orthonormal if...

||vi|| = 1 or vi.vi = 1

so to work out the length i get the sqrt of the squred values..but what do you mean by orthonormal basis in your comment there? im guessing that it is important as its in bold.. - Mar 17th 2008, 03:09 AMmr fantastic