Register to reply

Orthogonal Transformation and condition

Share this thread:
eoghan
#1
Dec31-08, 09:31 AM
P: 182
Hi there!
In order to proof the orthogonal condition aijaik=[tex]\delta_{jk}[/tex] j,k=1,2,3
I write the invariance of the length of a vector in two coordinate systems:
x'ix'i=xixi
Using the linear transformation:
x'i=ai1xi1+ai2xi2+ai3xi3
the first term becomes:
aijaikxjxk

My question is: why can't I write
aij2=xj2
Phys.Org News Partner Science news on Phys.org
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief

Register to reply

Related Discussions
Orthogonal transformation Calculus & Beyond Homework 2
Orthogonal transformation Calculus & Beyond Homework 2
Orthogonal transformation of matrix Linear & Abstract Algebra 1
Is an orthogonal transformation a tensor? Differential Geometry 0