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

mathsmind
 one year 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?

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0a solved example would be great

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0which means its determinant cant be 0?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0yest i will show you the full steps

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0consider the following matrix

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

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0which means transpose of rows and columns of A

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

mathsmind
 one year 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...

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

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

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0And P^4=2P how can we find P

mathsmind
 one year 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

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0so we need to find adjA

LOOSEr
 one year 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

mathsmind
 one year 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

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0i will show you shortly

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0@mathsmind why is taking so long?

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0sorry back, am at work

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

mathsmind
 one year 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

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0But it would be really long

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0well this is the world of Matrices...

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

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

LOOSEr
 one year ago
Best ResponseYou've already chosen the best response.0Isn't there any short way

mathsmind
 one year ago
Best ResponseYou've already chosen the best response.0have you done hermitian matrices...

mathsmind
 one year 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 ...

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

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

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

sauravshakya
 one year ago
Best ResponseYou've already chosen the best response.1@looser there are many matrices such that P^4=2P but only one is invertible which is dw:1361026643638:dw
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