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|dw:1328979083071:dw|

cofactor, transpose, divide by determinant

or swap some stuff in a 2x2

let me try it and u tell me if i have solved it right ok???

yeah easy method for 2 by 2

forgot to transpose lol

is this right? |dw:1328979427660:dw|

Trick: Swap the diagonal element and change the sign of off-diagonal ones

thats what i was trying for lol

I think cofactors will be
d -b
-c a

b is not its own cofactor

2 days back I learned a super fast way for doing 3x3 matrices

cofactor is the determinate of the submatrix

the submatrix of b is c in this case

Thanks guys :)
How abt a 4x4 matrix????

For this one the answer is\[ \begin{bmatrix}
\cos x & \sin x \\
-\sin x & \cos x
\end{bmatrix} \]

same process just messier and more apt to computers

god it took me a long time to write that

well am not a computer....O.o

then youll have to get a monk

Cofactors is a good way to get bigger determinants if the matrix has some number of zeros in it

finding inverse of 4 by 4 by hand is long process, use a machine

I like to use reduce row-echelon for method for 4x4

i like to use maple

ahhhhaaaa...I got it.....Thank you all ^^

Amistre u lost me....wht did u do in there??

the cofactor is the determinants of the submatrixes

its an algorithm

I'm sorry but all i know for algorithms is the name....I have no idea wht they r

|dw:1328980027433:dw|

i know wht submatrices r...

it sorts the data into a usable form that we can maniipulate to our own devious devices :)

OMG!!! I'm going to fail :(

? why?

cause i have to colve 100 probs and i have solved only 10...yay :P

and my stupid teacher doesn't know to explain at all -_-

|dw:1328980182059:dw|

i think that's what amistre did when he drew "a" and wrote "sub" in the box

I kinda got it...

this is a good site
http://tutorial.math.lamar.edu/Classes/LinAlg/FindingInverseMatrices.aspx

Angela, you need to get it, u don't need to "kinda" get it... that won't get u far lol :P

Leave me alone geek...:P I got microeconomy,finance,communication to study too -_-

welcome to university :)

yea right :'( I wish i never started it :P

i wish i start it soon! @angela

tht's cause u don't know yet wht it feels like to be in univ :p

if i dont go to univ i wont be great :P

u may go to univ and still not b great Akshay

i will be its a guarantee as it is "ME" :P

Ehe :P

u got matrices in economics?