Hello I need help with this | Mathematics | Page 1

soft shaleBOT Jul 30, 2023, 1:36 AM

#

Wait patiently for a helper to come along.
Once someone helps you, say thank you and close the thread with:

+close

Feel free to nominate the person for helper of the week in #helper-nominations
Do not ping the mods, unless someone is breaking the rules.
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

nocturne kraken Jul 30, 2023, 1:38 AM

#

what's the question?

#

Find a basis and the dimension of the solutions?

sand nimbus Jul 30, 2023, 1:41 AM

#

nocturne kraken Find a basis and the dimension of the solutions?

In problems 377 to 382, find a basis and the dimension of the solution space of the indicated homogeneous system.

nocturne kraken Jul 30, 2023, 1:41 AM

#

so yes

#

what have you tried?

sand nimbus Jul 30, 2023, 1:43 AM

#

nocturne kraken what have you tried?

I saw a friend do gauss jordan but im not sure u can do that cuz theres not really examples on the book

#

or at least I didnt find

#

and we have done none in class either

nocturne kraken Jul 30, 2023, 1:43 AM

#

Gauss Jordan is the way to do it

sand nimbus Jul 30, 2023, 1:43 AM

#

is it the only/easiest way?

nocturne kraken Jul 30, 2023, 1:44 AM

#

if the coefficient matrix is invertible then you know the solution space is {0}

#

else you have you use Gauss Jordan / any process for solving a system of linear equalities

sand nimbus Jul 30, 2023, 1:45 AM

#

nocturne kraken else you have you use Gauss Jordan / any process for solving a system of linear ...

So I can just use gauss?

nocturne kraken Jul 30, 2023, 1:45 AM

#

yes

sand nimbus Jul 30, 2023, 1:45 AM

#

cool

#

gimme a sec

nocturne kraken Jul 30, 2023, 1:45 AM

#

obviously you can use the thing that solves a system to solve a system lol

#

,w RREF{{1,3,-2},{1,-5,3},{2,-1,3}}

#

should get it's row equivalent to identity

worthy juniperBOT Jul 30, 2023, 1:46 AM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

sand nimbus Jul 30, 2023, 2:06 AM

#

nocturne kraken obviously you can use the thing that solves a system to solve a system lol

rn_image_picker_lib_temp_0aecf1a3-0f51-4182-a1ba-51db3052d215.jpg

#

by gauss

nocturne kraken Jul 30, 2023, 2:06 AM

#

ok

sand nimbus Jul 30, 2023, 2:06 AM

#

accidentally put x y z instead of x1 x2 and x3 but ye

nocturne kraken Jul 30, 2023, 2:06 AM

#

ok

sand nimbus Jul 30, 2023, 2:06 AM

#

now what

nocturne kraken Jul 30, 2023, 2:06 AM

#

conclude what the dimension and basis is...

#

the solution space is {0}

#

what's the dimension of that subspace

sand nimbus Jul 30, 2023, 2:08 AM

#

nocturne kraken what's the dimension of that subspace

is the basis simply 0

nocturne kraken Jul 30, 2023, 2:08 AM

#

no

#

the basis is empty

#

{0} cant be a basis since it's linearly dependent.

sand nimbus Jul 30, 2023, 2:08 AM

#

uh

nocturne kraken Jul 30, 2023, 2:09 AM

#

uh

#

use words

sand nimbus Jul 30, 2023, 2:09 AM

#

I thought you only spoke about linearly dependency when you had more than 1 vector

nocturne kraken Jul 30, 2023, 2:09 AM

#

nope

#

you talk about it in any set of vectors.

sand nimbus Jul 30, 2023, 2:09 AM

#

so theres no basis so no dimension?

nocturne kraken Jul 30, 2023, 2:10 AM

#

the dimension is the cardinality of the basis

#

{} is the basis, so |{}| = 0

#

it's 0 dimensional

sand nimbus Jul 30, 2023, 2:11 AM

#

uh

#

what does cardinality mean

nocturne kraken Jul 30, 2023, 2:11 AM

#

number of elements in a (finite) set

sand nimbus Jul 30, 2023, 2:12 AM

#

so basis is an empty set and dimension is 0?

nocturne kraken Jul 30, 2023, 2:12 AM

#

yes

#

as I said

sand nimbus Jul 30, 2023, 2:12 AM

#

cool ty

#

but wait

#

lemme check if the book has the answer on the back

nocturne kraken Jul 30, 2023, 2:15 AM

#

k

sand nimbus Jul 30, 2023, 2:29 AM

#

nocturne kraken k

it doesnt but its ok thank you

#

ill keep this open in case I need help w anything else

boreal robinBOT Jul 30, 2023, 2:29 AM

#

@sand nimbus has given 1 rep to @nocturne kraken

sand nimbus Jul 30, 2023, 2:58 AM

#

nocturne kraken k

ok I need help

#

im doing 384, ill send the translation and what i tried

nocturne kraken Jul 30, 2023, 2:58 AM

#

Not available. But a separate question should have a separate thread

sand nimbus Jul 30, 2023, 2:59 AM

#

alr sure

#Hello I need help with this