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Old 15th Feb 2002, 06:25 AM   #1
Puncher
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Linear Algebra I exam

In four hours I will be writing the second part of my linear algebra exams. I "only" need to get 23 of 50 points. Wish me luck!
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"The children now love luxury; they have bad manners, contempt for authority; they allow disrespect for elders and love chatter in place of exercise. Children now are tyrants, not the servants of their households. They no longer rise when elders enter the room. They contradict their parents, chatter before company, gobble up dainties at the table, cross their legs, and tyrannize their teachers.
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Old 15th Feb 2002, 06:31 AM   #2
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gl
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Old 15th Feb 2002, 06:39 AM   #3
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Old 15th Feb 2002, 06:52 AM   #4
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god damm I HATE that subject. Good luck.
-How.
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Old 15th Feb 2002, 07:30 AM   #5
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May a giant hamster NOT fall out of the sky and crush you in your sleep. GL man
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Old 15th Feb 2002, 08:59 AM   #6
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Good luck, Puncher...
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Old 15th Feb 2002, 09:58 AM   #7
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Linear Algebra isn't too bad, I just hope they don't make you invert a 4 by 4 matrix by HAND.

It does come in handy for things like numerically solving Laplace's Equations over all space for an irregularly mapped coordinate system.
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Old 15th Feb 2002, 10:06 AM   #8
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arg ! don't speak of linalg !!! I'm still on vacations

EDIT: oh, and good luck
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Old 15th Feb 2002, 10:22 AM   #9
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Viel Glück
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Old 15th Feb 2002, 10:41 AM   #10
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Good luck Puncher...




( Sounds fun... )
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Old 15th Feb 2002, 10:44 AM   #11
Lolo Konijn
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I did it in just 3 times
(altough it was the easiest subject I had so far )

GL
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Old 15th Feb 2002, 11:10 AM   #12
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ES...you are a living calculator! its inhuman!

Ohh well, guess i should have showed up at school once in a while...on secound thought no, i was compleately right and justified in staying the hell away
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Old 15th Feb 2002, 11:22 AM   #13
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Quote:
ES...you are a living calculator! its inhuman!

Ohh well, guess i should have showed up at school once in a while...on secound thought no, i was compleately right and justified in staying the hell away
Hehe.

This might frighten you, but I actually know how to take the square root and cube root of <em>any</em> given number (including decimals) by hand on a sheet of paper. Its kinda like long division, and helps in a pinch when you forget your calculator on an exam...
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Old 15th Feb 2002, 11:31 AM   #14
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God damn you smart math people make me sick. I'm a programmer, could actually use the skills, and don't have them
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Old 15th Feb 2002, 01:32 PM   #15
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Quote:
Originally posted by ElectricSheep

This might frighten you, but I actually know how to take the square root and cube root of <em>any</em> given number (including decimals) by hand on a sheet of paper. Its kinda like long division, and helps in a pinch when you forget your calculator on an exam...


i can find the nth root of any number of arbitrary precision. the general algorithm is called Newton's Method in North American calculus textbooks and finding roots of real numbers is only one of its applications:

x_(i+1) = x_(i) - f(x_(i))/f'(x_(i)) (where x_(i)'s are approximations of the root of f)

and let

f(x) = x^n - a
then f'(x) = (n)x^(n-1)

to find the nth root of a.

[edit] check this out: http://mathworld.wolfram.com/NewtonsMethod.html
("A fractal is obtained by applying Newton's Method to finding a root of z^n - 1 = 0" ie.: nth complex root of 1) [/edit]

Last edited by agent; 15th Feb 2002 at 01:54 PM.
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Old 15th Feb 2002, 02:26 PM   #16
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Well, it's all over now. Going by my gut feeling I should have enough points.

@electric sheep: one of the things we had to do was inverting a 3*3 matrix... I half forgot how to do it. Grrr.

The rest was relatively ok. Eigenvalues, characteristic polynom, minimal polynom, determinants,...

Either way it's time to get drunk after I'm finished typing this
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find / -name \*yourbase\* -exec chown us:us {} \;

"The children now love luxury; they have bad manners, contempt for authority; they allow disrespect for elders and love chatter in place of exercise. Children now are tyrants, not the servants of their households. They no longer rise when elders enter the room. They contradict their parents, chatter before company, gobble up dainties at the table, cross their legs, and tyrannize their teachers.
Sokrates, Greek philosopher, 470-399 BC
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Old 15th Feb 2002, 02:30 PM   #17
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Quote:
Originally posted by Puncher

@electric sheep: one of the things we had to do was inverting a 3*3 matrix... I half forgot how to do it. Grrr.
[ A | I ] ~ [ I | A^(-1)] if det(A) =/= 0
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Old 15th Feb 2002, 05:06 PM   #18
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Man I hate smart people.
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Old 15th Feb 2002, 05:24 PM   #19
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Quote:
Originally posted by agent


[ A | I ] ~ [ I | A^(-1)] if det(A) =/= 0
Whaa??? I don't know what the fu<b></b>ck you are all complaining about linear algebra about... it's all addition, subtraction, and multiplication!

At least the first part is...
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Old 15th Feb 2002, 06:07 PM   #20
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Check out this site for some linear algebra:
http://www.numbertheory.org/book/
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German Armed Forces, 8./NschBtl 310, 1st Platoon, ret.

find / -name \*yourbase\* -exec chown us:us {} \;

"The children now love luxury; they have bad manners, contempt for authority; they allow disrespect for elders and love chatter in place of exercise. Children now are tyrants, not the servants of their households. They no longer rise when elders enter the room. They contradict their parents, chatter before company, gobble up dainties at the table, cross their legs, and tyrannize their teachers.
Sokrates, Greek philosopher, 470-399 BC
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