Quick Matrix Question


by GuitaristOfRa
Tags: matrix
GuitaristOfRa
GuitaristOfRa is offline
#1
Mar5-11, 05:10 PM
P: 3
Looking over a proof of something, I was confused at this step:

We end up with: R[tex]^{T}[/tex] R = I (the identity matrix)
This must mean that R[tex]^{-1}[/tex] = R[tex]^{T}[/tex]

This is confusing me because I know that A A[tex]^{-1}[/tex] = I , but in the R case the transpose is on the left side instead of the right, and it seems to me that it matters what order the matrices are multiplied.
Phys.Org News Partner Science news on Phys.org
SensaBubble: It's a bubble, but not as we know it (w/ video)
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Microbes provide insights into evolution of human language
homology
homology is offline
#2
Mar6-11, 06:59 AM
homology's Avatar
P: 307
Okay, start with [tex]AA^{-1}=I[/tex]. Can you turn this into [tex]A^{-1}A=I[/tex]?


Register to reply

Related Discussions
Quick matrix question Calculus & Beyond Homework 3
Quick matrix question Calculus & Beyond Homework 8
Quick question about matrix operations. Calculus & Beyond Homework 5
Quick Question: Matrix added to Differential Calculus & Beyond Homework 8
[SOLVED] Quick Question: Is this matrix an orthogonal projection? Introductory Physics Homework 2