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Matrices, rotation, curfuddled.

Howdy, I came across a matrix question which had some stuff about the geometric interpretation of the transformation. It is in the form ( 1/rt2 1/rt2) ( 4 0 ) ( -1/rt2 -1/rt2 )

.( 1/rt2 -1/rt2) ( 0 2 ) ( -1/rt2 1/rt2 )I know what the middle bit does, but I have to say what the first and last bits do separately, and I haven't got the foggiest. Apparently it has something to do with rotation, but I am a bit lost. Any help greatly appreciated
Reply 1
Avatar for m:)ckel
m:)ckel
14
Rotation matrices are of the form

(cosx -sinx)
(sinx cosx)

if that helps (anti-clockwise)
Reply 2
Avatar for henryt
henryt
17
I think so... I think the matrices rotate by 45 degrees... Something like that anyway!!
Reply 3
Avatar for KAISER_MOLE
KAISER_MOLE
OP
7
oh aye, I would have got something like that if I had chosen another eigenvector (I had x=-y) , is it just a case of looking out for something that might end up in the rotation matrix form?

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