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Matrices multiplication - propriétés - distributivité : À x (B + C) = A x B + A x C - non commutativité : A x B != B x A - puissance : A^n = A x A x A ... (n fois) - A^0 = I (ni = na) - inversibilite (m carrée) : A x A' = A' x A = I (matrice unité) (méthode à voir plus tard)

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Matrices - propriétés Propriétés - Dimension, taille, ordre : n x p - Coefficient, valeur, terme - on parle toujours ligne puis colonne - matrice carrée, diagonale de haut gauche vers bas droite
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Matrice remarquables - Matrice carrée, d'ordre n (n = p) - Matrice nulle : n x p, tous coeff = 0 - Matrice diagonale : matrice carrée, tous coeff en dehors diagonale = 0 - Matrice carrée unité, identitaire : diagonale à 1, reste à 0
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Matrices - addition - Commutative - Même dimension uniquement - Idem différence - multiplication par un nombre réel : commutatif, distributif
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Matrices multiplication - simple - Matrice ligne par matrice colonne : nombre réel - Pour multiplier on doit avoir na = on
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Matrice multiplication - propriétés - A x B = C - pa = nb - nc = na, pc = pb Exemple : A -> 2 x 4, B -> 4 x 6 C -> 2 x 6
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Matrices multiplication - process cij = ai1 x b1j + ai2 x b2j + ... + ain x bpj
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Élimination + back propagation Faire une élimination + back propagation sur un système 3 eq à 3 inconnues
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Device:96a1806c ed21 4b75 a06c 437246c174a911602 ec2301.nx19ssjor
Column multiplication On peut utiliser la multiplication en colonnes pour toute matrice :
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Device:96a1806c ed21 4b75 a06c 437246c174a972688 13ngx1p.ljffv6xbt9
Matrices élémentaires Ce sont les matrices qui représentent les étapes de substitution pour arriver à un système de n équations à n inconnues auquel on peut appliquer la back substitution.
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Inversibilite Une matrice carrée de n coeff est invertible ssi elle possède n pivots
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Device:96a1806c ed21 4b75 a06c 437246c174a946292 v5jtc6.lurwg919k9
Transposé d'une matrice
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How can educated and sophisticated viewers react so differently to a work of art? Is it just Kulture Klash? No, since most of the time there's no Klash at all. On the occasions when we disagree, it may be because we're looking for different things in dance.
Robert Gottlieb
I truly believe in cinema's potential for cultural impact. I have a clear idea what I want to do - to enrich people's lives.
David Oyelowo
When you're not on the payroll, and you want to continue the Beverly Wilshire lifestyle, but you're only geared for a Holiday Inn existence, things are gonna catch up to you.
Bobby Keys
The Autumn is old; The sere leaves are flying; He hath gather'd up gold, And now he is dying; Old age, begin sighing!
Thomas Hood
I hate to see complacency prevail in our lives when it's so directly contrary to the teaching of Christ.
Jimmy Carter
You cannot blame everything on the enemy.
Ursula K. Le Guin
If you play in the NFL and start for 10 years, it's not good. It is not good.
Terry Bradshaw
Lead from the front.
Audie Murphy
Television is becoming a collage - there are so many channels that you move through them making a collage yourself. In that sense, everyone sees something a bit different.
David Hockney
I think self-discipline is something, it's like a muscle. The more you exercise it, the stronger it gets.
Daniel Goldstein
Television forces people to be larger than life. I would be too shy.
Heston Blumenthal
Real patriotism is a willingness to challenge the government when it's wrong.
Ron Paul
I really believe that God puts things in front of you for a reason, even if you don't always appreciate it in the moment.
Amanda Borden
In a crowded marketplace, fitting in is a failure. In a busy marketplace, not standing out is the same as being invisible.
Seth Godin
As a kid, there are some things you looked forward to. You looked forward to Charlie Brown during Halloween and you looked forward to Monday Night Football.
Nick Ferguson
If you talk about STEM education, the best way to introduce anyone to STEM or get their curiosity going on, it's Minecraft.
Satya Nadella
When wearing a trench coat, you're allowed to act like Humphrey Bogart when he was detective Sam Spade.
Roger Stone
Declines in specific industries can never ignite a general depression. Shifts in data will cause increases in activity in one field, declines in another.
Murray Rothbard
There have been actresses who transitioned and nobody knew. But for me, with everybody knowing my history, it will be harder. I'm sure there are some great scripts calling for an ultra-glamorous woman. And I'm prepared to be ultra-glamorous.
Candis Cayne
I have a certain point of view, a certain way to plate food, certain ingredients that I like to use.
Charlie Trotter
When I'm in the mood for room service, my favorite order is a peanut-butter-and-jelly sandwich.
Pharrell Williams
Age is simply the number of years the world has enjoyed you!
Nishan Panwar
The body is like a car the older you become the more care you have to take care of it and you dont leave a Ferrari out in the sun.
Joan Collins
My idea of management is that what your job is as the boss is to find really good people and empower them and leave them alone.
Ruth Reichl