Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Thread Subject:
Orthonormal basis

Subject: Orthonormal basis

From: Kevin

Date: 19 Jan, 2012 00:37:09

Message: 1 of 5

can you help me with these questions:
How many orthonormal bases that span the subspace perpendicular to a vector "d" exists and what are they (how are they calculated in Matlab)?
for these two examples:
d=[1.3 0.8]
d=[2 3.1 4 1]

Subject: Orthonormal basis

From: John D'Errico

Date: 19 Jan, 2012 01:03:10

Message: 2 of 5

"Kevin " <k.amouzgar@gmail.com> wrote in message <jf7ojl$rft$1@newscl01ah.mathworks.com>...
> can you help me with these questions:
> How many orthonormal bases that span the subspace perpendicular to a vector "d" exists and what are they (how are they calculated in Matlab)?
> for these two examples:
> d=[1.3 0.8]
> d=[2 3.1 4 1]

How many? Uh, 5 of them. I think. ;) Kidding.

There are infinitely many orthonormal bases that
span the null space, as long as the null space has
dimension at least 2.

But really, you should answer your own homework
questions.

John

Subject: Orthonormal basis

From: Matt J

Date: 19 Jan, 2012 09:08:09

Message: 3 of 5

"Kevin " <k.amouzgar@gmail.com> wrote in message <jf7ojl$rft$1@newscl01ah.mathworks.com>...
> can you help me with these questions:
> How many orthonormal bases that span the subspace perpendicular to a vector "d" exists and what are they (how are they calculated in Matlab)?
> for these two examples:
> d=[1.3 0.8]
> d=[2 3.1 4 1]
============

Hint: the NULL command

Subject: Orthonormal basis

From: g.heath@verizon.net

Date: 20 Jan, 2012 05:22:56

Message: 4 of 5

On Jan 18, 7:37 pm, "Kevin " <k.amouz...@gmail.com> wrote:
> can you help me with these questions:
> How many orthonormal bases that span the subspace perpendicular to a vector "d" exists and what are they (how are they calculated in Matlab)?
> for these two examples:
> d=[1.3  0.8]
> d=[2  3.1  4  1]

In 3-D with d pointing in the z direction just spin the x-y plane
about the z axis...how many is that(I'm getting dizzy)?

In 2-D it's a lot easier.

In 4-D I'm getting cross-eyed trying to picture it.

In 5-D ...

OK?

Hope this helps.

Greg

Subject: Orthonormal basis

From: Kevin

Date: 22 Jan, 2012 19:36:32

Message: 5 of 5

g.heath@verizon.net wrote in message <4959a8b9-ced0-4265-b0f4-034532e0f1ac@z12g2000yqm.googlegroups.com>...
> On Jan 18, 7:37 pm, "Kevin " <k.amouz...@gmail.com> wrote:
> > can you help me with these questions:
> > How many orthonormal bases that span the subspace perpendicular to a vector "d" exists and what are they (how are they calculated in Matlab)?
> > for these two examples:
> > d=[1.3  0.8]
> > d=[2  3.1  4  1]
>
> In 3-D with d pointing in the z direction just spin the x-y plane
> about the z axis...how many is that(I'm getting dizzy)?
>
> In 2-D it's a lot easier.
>
> In 4-D I'm getting cross-eyed trying to picture it.
>
> In 5-D ...
>
> OK?
>
> Hope this helps.
>
> Greg

Well i know there is a lot but, I'm using the Null command in MATLAB and the issue is in 2D it only gives one vector, in 3D gives a matrix of 3*2! (two vector)and ...!! SO where are the others??

Tags for this Thread

What are tags?

A tag is like a keyword or category label associated with each thread. Tags make it easier for you to find threads of interest.

Anyone can tag a thread. Tags are public and visible to everyone.

Contact us