05-11-2024 - Analytic Geometry - Determinant of 3x3 matrix [EN]-[IT]
~~~ La versione in italiano inizia subito dopo la versione in inglese ~~~
ENGLISH
05-11-2024 - Analytic Geometry - Determinant of 3x3 matrix [EN]-[IT]
With this post I would like to give a short instruction about the topic mentioned in the subject
(code notes: X_085)
Determinant of 3x3 matrix
The determinant of a matrix is a number associated with each square matrix, and expresses some of its algebraic and geometric properties.
In this article I will show the steps that need to be done to calculate the determinant of a 3x3 matrix.
Let's now take the following matrix as an example
We will therefore have that the determinant will be
a(ei−fh)−b(di−fg)+c(dh−eg)
so thinking about the given matrix
we can perform the calculation thinking in two ways
1- det = a(ei−fh)−b(di−fg)+c(dh−eg)
2- det = a11a22a33 - a11a23a32 + a12a23a31 - a12a21a33 + a13a21a32 - a13a22a31
The result is 19
Conclusions
To calculate the determinant of a 3x3 matrix, you need to multiply each element of the first row by the determinant of the 2×2 matrix obtained by eliminating the row and column of the element.
Question
Have you ever tried to calculate the determinant of a 3 x 3 matrix?
[ITALIAN]
05-11-2024 - Geometria analitica - Determinante matrice 3x3 [EN]-[IT]
Con questo post vorrei dare una breve istruzione a riguardo dell’argomento citato in oggetto
(code notes: X_085)
Determinante matrice 3x3
Il determinante di una matrice è un numero associato a ciascuna matrice quadrata, e ne esprime alcune proprietà algebriche e geometriche.
In questo articolo mostrerò i passi che bisogna fare per calcolare il determinante di una matrice 3x3.
Prendiamo ora come esempio la seguente matrice
Avremo quindi che il determinante sarà
a(ei−fh)−b(di−fg)+c(dh−eg)
quindi pensando all amatrice data
possiamo effettuare il calcolo pensado in due maniere
1- det = a(ei−fh)−b(di−fg)+c(dh−eg)
2- det = a11a22a33 - a11a23a32 + a12a23a31 - a12a21a33 + a13a21a32 - a13a22a31
Il risultato è 19
Conclusioni
Per calcolare il determinante di una matrice 3x3 bisogna moltiplicare ciascun elemento della prima riga per il determinante della matrice 2×2 ottenuta eliminando la riga e la colonna dell’elemento.
Domanda
Avete mai provato a calcolare il determinante di una matrice 3 x 3?
THE END
!BEER
View or trade
BEER
.Hey @stefano.massari, here is a little bit of
BEER
from @thehockeyfan-at for you. Enjoy it!We love your support by voting @detlev.witness on HIVE .
!discovery 30
@tipu curate
Upvoted 👌 (Mana: 330/500) Liquid rewards.
This post was shared and voted inside the discord by the curators team of discovery-it
Join our Community and follow our Curation Trail
Discovery-it is also a Witness, vote for us here
Delegate to us for passive income. Check our 80% fee-back Program
!PIZZA
!LOL
!INDEED
lolztoken.com
It’s all fun and games until someone loses an I.
Credit: reddit
@stefano.massari, I sent you an $LOLZ on behalf of cryptoyzzy
(5/10)
Farm LOLZ tokens when you Delegate Hive or Hive Tokens.
Click to delegate: 10 - 20 - 50 - 100 HP
$PIZZA slices delivered:
@cryptoyzzy(5/5) tipped @stefano.massari
(5/10)
@stefano.massari! @cryptoyzzy Totally agrees with your content! so I just sent 1 IDD to your account on behalf of @cryptoyzzy.