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anonymous
 3 years ago
what is a 3x3 invertible matrix?
anonymous
 3 years ago
what is a 3x3 invertible matrix?

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tkhunny
 3 years ago
Best ResponseYou've already chosen the best response.0Are you OK with what a 3x3 matrix is?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0do you want a formal definition or a solved example showing all steps of inverting a 3x3 matrix?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0a solved example would be great

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0which means its determinant cant be 0?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yest i will show you the full steps

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0consider the following matrix

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[A=\left[\begin{matrix}1 & 2 & 0\\ 3& 1 & 5\\ 1 & 2 & 3\end{matrix}\right]\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0which means transpose of rows and columns of A

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[A^T=\left[\begin{matrix}1 & 3 & 1\\ 2& 1 & 2\\ 0 & 5 & 3\end{matrix}\right]\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Step Two: find the adjoint or adjugate of A, which implies that we replace each element by their cofactor...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If P = \begin{bmatrix} a &b &c \\ d &e &f \\ g &h &i \end{bmatrix}

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now please concentrate on this step it is simple but requires a bit of accuracy

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0And P^4=2P how can we find P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0let's finish this first part then i will come to the 2nd question, you asked me first for a numerical example

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so we need to find adjA

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know how to find a inverse matrix. So, can u plz do the 2nd question

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes sorry am on the phone, but just a quick hint for P^n we use the principle of induction

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i will show you shortly

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@mathsmind why is taking so long?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sorry back, am at work

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now P^4 means you are multiplying your matrix by itself 4 times.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you know how to multiply the, it would be PP=P^2, then P^2P=P^3. then P^3P=P^4

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0But it would be really long

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well this is the world of Matrices...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0are you thinking of algebraic operation on matrices such as taking the inverse of 2P

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0or subtracting p^42P=0 in order to find the new P?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Isn't there any short way

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0have you done hermitian matrices...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0listen can we kindly finish this tonight because it is 5 am and i need to go ...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i will provide you with full solution even if you are not online ok

Hero
 3 years ago
Best ResponseYou've already chosen the best response.0lol, you still here? I thought you got help

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.0I haven't done matrices yet: I am stuck with number theory at the moment.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@looser there are many matrices such that P^4=2P but only one is invertible which is dw:1361026643638:dw
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