If you have a new account but are having problems posting or verifying your account, please email us on hello@boards.ie for help. Thanks :)

Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact hello@boards.ie

Hi there,
There is an issue with role permissions that is being worked on at the moment.
If you are having trouble with access or permissions on regional forums please post here to get access: https://www.boards.ie/discussion/2058365403/you-do-not-have-permission-for-that#latest

Matrices

sternn · 2009-05-12 15:26:25

Have a question, and I have never really understood what it means. Which of the following bases are orthogonal and which are orthonormal? (1,0), (0,-3) (1,0,0),(0,-3/5,-4/5),(0,-4/5,3/5) I dont understand what it means by the 3 underlined words..can anyone help with this? Thanks :)

12-05-2009 3:26pm

#1

sternn

Registered Users, Registered Users 2 Posts: 929 ✭✭✭

Join Date: March 2007

Posts: 781

Have a question, and I have never really understood what it means. Which of the following bases are orthogonal and which are orthonormal?

(1,0), (0,-3)
(1,0,0),(0,-3/5,-4/5),(0,-4/5,3/5)

I dont understand what it means by the 3 underlined words..can anyone help with this?

Thanks

0

Comments

#2 12-05-2009 3:33pm

LeixlipRed

Closed Accounts Posts: 6,081 ✭✭✭

Join Date: July 2007

Posts: 5982

Orthogonal basis: All vectors mutually perpendicular
Orthonormal basis: same as but vectors are unit vectors (length 1)
A basis is a set of linear independent vectors, for which when you take all possible linear combinations of these vectors forms a vector space.

0