if you have a system which has a solution set
x=9t-11
y=2-5t
z=t where t is any real number,

is the solution set a subspace of R3. I am thinking yes as you can represent this as

(x,y,z)=(-11,2,0)+t(9,-5,1)

where the point and the vector(9,-5,1) represents a subspace of points in R3? Is my thought process right here?

Question

if you have a system which has a solution set
x=9t-11
y=2-5t
z=t    where t is any real number,

is the solution set a subspace of R3. I am thinking yes as you can represent this as 

(x,y,z)=(-11,2,0)+t(9,-5,1)

where the point and the vector(9,-5,1) represents a subspace of points in R3? Is my thought process right here?

anonymous · Answer

any thoughts?

dan815 · Answer

|dw:1370866160118:dw|

anonymous · Answer

my thoughts are correcT?

dan815 · Answer

ya cuz it can be represented in that parametric equation

anonymous · Answer

i wasn't quite sure that a point can also be considered as a subspace along with a vector

dan815 · Answer

ok i dunno i just wanted to try and answer lol

dan815 · Answer

i dunno maybe?? what if u say this is R4, with x , y , z and t?

anonymous · Answer

i was thinking that the point doesn't have a t value for that corresponding vector. therefore if you consider that point and the vector then it would make every point in r3? not sure

dan815 · Answer

id say R3 because, u can represent parametric equations in 3 space even if its x=x(t),y=y(t),z=z(t)

anonymous · Answer

mmk. cheers bro

dan815 · Answer

ok :D

amistre64 · Answer

a subspace has certain requirements

amistre64 · Answer

is the zero vector contained in the equation?

anonymous · Answer

um nope

amistre64 · Answer

if there is no zero vector, then it is not a subspace ...

anonymous · Answer

oh stupid me

dan815 · Answer

what is a subspace lol

amistre64 · Answer

http://www.math.hmc.edu/~dk/math40/m40_s12_lecture9.pdf

dan815 · Answer

what course is that?

amistre64 · Answer

its usually a part of linear algebra

dan815 · Answer

oh ok i learn that next year i think or the year after

dan815 · Answer

we did learn about some matrices stuff, thats about it

anonymous · Answer

yea i tots forgot that! cheers though for the link!

amistre64 · Answer

youll do fine :)  good luck

anonymous · Answer

got exam on 22nd of june. get pumped

dan815 · Answer

are u doing summer school

anonymous · Answer

nah i'm in australia

dan815 · Answer

o cool :)

anonymous · Answer

yea first year uni

dan815 · Answer

we never learned this in first year uni.. i wonder whats wrong with my uni lol

dan815 · Answer

all we did was learn about eigen values and stop there, and then how to solve odes with that stuff

anonymous · Answer

ahah yea i heard that in america you don't even do complex numbers in final year of high school.well thats how the myth goes in australia..aha

dan815 · Answer

lol

dan815 · Answer

we did see it in gr 11 and 12 i think, but very light

anonymous · Answer

sweet

dan815 · Answer

what kinda other math stuff have u done more than us O_O

dan815 · Answer

im in Canada though so i dunno about USA

dan815 · Answer

have you done multivariable calculus yet?

anonymous · Answer

not sure what that is. we've done system of differential equations, slope fields etc loads of vectors

anonymous · Answer

yea eigen vectors

dan815 · Answer

oh ok i think u guys are focusing more on matrices stuff

anonymous · Answer

we do alot of trig calc and integration

dan815 · Answer

we focused a bit more on integration stuff. like vector calculus and stuff, but we got a linear algebra course that everyones gotta take in 2nd or 3rd year and thats gonna cover all that matrices stuff at once

anonymous · Answer

ah right. our maths is divided up into linear algebra and calculus 2 lessons of algebra and 2 lessons of calc a week