what's the simplest way to find the inverse of a 4x4 matrix?

Question

please, i am not trying to get a homework answer. i just need help on how to do it.
give me the simplest way possible.
don't care if it's long. i just need to understand it. that's all.

Answer 1

There is a good explanation here http://en.wikipedia.org/wiki/Matrix_inverse#Analytic_solution

You will have to know what the cofactors of the determinant of the matrix are. See http://en.wikipedia.org/wiki/Cofactor_%28mathematics%29#Cofactors

It can get pretty messy.

Answer 2

short solutions: a million. There are "formulae" for inverting n x n matrices and can be chanced on on the internet and such for n as much as approximately 12. however the formulation get surprisingly brutal for hand calculation and are in many cases only good for programming desktops or ASICs or stuff to do it. (occasion: you have some gadget you're designing that desires to invert 10 x 10 matrices all day long. you could desire to layout a custom chip to do it making use of the formulation for 10 x 10 inverse.) 2. No. You maximum truthfully can no longer invert singular (determinant = 0) or non-sq. matrices. partly by definition (the non-sq. area) and partly by straightforward arithmetic (you will get a divide-by-0 with formulation, or an irreducible matrix by the matrix augmentation approach). wish this facilitates.

Answer 3

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That is a 4x 4...
my teacher showed us a special way not to do the long way ...
Umm that cost me 500 dollars...
teh cheapest way is for you to use your calculator....
there is a matrix section on there

I know how to do the 4x4manually and fast simple method

Answer 4

use your graphing calculator preferably a TI-83
first enter the matrix into the calculator
second press the matrix button and the matrix inverse button
trird press enter.