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LOOSEr
 2 years ago
what is a 3x3 invertible matrix?
LOOSEr
 2 years ago
what is a 3x3 invertible matrix?

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

mathsmind
 2 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?

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

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

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

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

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

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

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

mathsmind
 2 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...

LOOSEr
 2 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}

mathsmind
 2 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

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

mathsmind
 2 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

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

LOOSEr
 2 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

mathsmind
 2 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

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

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

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

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

mathsmind
 2 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

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

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

mathsmind
 2 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

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

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

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

mathsmind
 2 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 ...

mathsmind
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0lol, you still here? I thought you got help

ParthKohli
 2 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.

sauravshakya
 2 years 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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