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anonymous
 5 years ago
Can someone please explain me how to inverse a matrix?
anonymous
 5 years ago
Can someone please explain me how to inverse a matrix?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326942286656:dw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There is a systematic way to find the inverse of a matrix that isn't so difficult. It might take a bit to type up, so bear with me!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0LOL Thanks :D My book doesn't show how it got it so I am just wondering how

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think u gotta use GJ elimination

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think you need the determinant with it also

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but only if it is 2by 2 matrix no?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0First, you create a 3 x 6 matrix, like so: \[\begin{matrix} 2 & 3 & 1 & 1 & 0 & 0 \\ 3 & 3 & 1 & 0 & 1 & 0 \\ 2 & 4 & 1 & 0 & 0 & 1 \end{matrix}\] Then, you use GJ elimination methods until you have \[\begin{matrix} 1 & 0 & 0 & a & b &c \\ 0 & 1 & 0 & d &e & f \\ 0 & 0 & 1 & g & h & i \end{matrix}\] Take that 3x3 matrix on the right, multiply it by 1 over the determinant of your original matrix, and you are done!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are u sure you have to use the determinant can u just use elimination?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cuz we didnt learn abt that yet really

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry, you don't need to divide by the determinant, my bad.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No problem! :) Also, this method is how you find the inverses of matrices in general. You'll note that if you try to solve the standard 2x2 matrix with this method, you will get the inverse that you probably learned in class. There are some slightly easier techniques to solve 3x3 matrices, but the proof of the validity of that method requires some linear algebra. Besides, this method always works!
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