Algebra!

Prove that the transformation T is lineair and determine the matrix of T compared to the standardbasisses if T is the image of R^3 to R^5, defined by T(x,y,z)=(x,y,x+z,y,z)

I got your respect now?
12hours till exam, of which I'll sleep 5!
Serious business and stuff ;o

How long does crossfire sleep before an exam?
I usually sleep ~7 hours at a normal night, last exam I only did like 4 hours, which was too little.

+My cat ran away from my room, I need his support :(
me and my cat this afternoon:
image: Picture0011

image: hahawtf
Comments
41
I used to sleep like 6 hours before an exam (normally 7)
lay some fishies on the ground of your room and w8


i normally sleep about 8hours which is definitely too little on exams day too :/
WTF @ GIF ?;o
depends a lot on the exam and if I'm really studying for it, I might sleep just 1-2 hours.

Luckily I passed all my maths at uni already and don't need to think about this stuff anymore x)
Nice being a patriot due to having that flag of Belgium :o
thx, mind the spears at the right side of the flag aswell
Parent
Adorable cat as well :))
Good luck with your exams!
Parent
WTF @ GIF ?;o
thought the same xD
Parent
Wait for rize's comment!
im here :)
Parent
Just in time <3
Parent
didnt read it but that guy looks like Harry Potter !
oh boo fucking boo
Parent
really dude, you should be proud of it : - )
Parent
linearity:

T(a*(x,y,z))=(ax,ay,az) = (ax,ay,ax+az,ay,az) = (ax, ay, a(x+z), ay, az) = a * (x,y,x+z,y,z) = a * T(x, y, z)
11 hours and 25 minutes left to next exam :(

Normally i sleep a bit less than 6 hours a night be4 exam.
Gl
basis:

(1,0,1,0,0)
(0,1,0,1,0)
(0,0,1,0,1)
your matric should be 5*3, so you need to ^T it ;D
Parent
i wrote basis vectors, ur transformation matrix u get by transposing these 3*5 matrix.

long way to come there:

(a1.a2.a3)...........(x)
(b1.b2.b3)...(x)....(y)
(c1.c2.c3).*.(y).=.(x+z)
(d1.d2.d3)...(z).....(y)
(e1.e2.e3)...........(z)

=>

a1 = 1
a2 = 0
a3 = 0
b1 = 0
b2 = 1
b3 = 0
c1 = 1
c2 = 0
c3 = 1
d1 = 0
d2 = 1
d3 = 0
e1 = 0
e2 = 0
e3 = 1

so u get ur transformationsmatrix, and compare this to basis vectors.
Parent
5 hours sleep before exam, serious business.
you would preform better with a good night sleep
too late, i was first :D
Parent
haha, brilliant :)

You had to learn this recently aswell?
If it's some years ago you're quite smart ;/

What do you do/study?
Parent
styding maths
Parent
industrial engineer

Dno if its called the same in germany :>
Parent
ur profile says u are a female
4 hours or so normally, 9 hours before exam. :)
I never sleep more then 3 hours before an exam. (serious exams i mean)
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