Élimination + back propagation Faire une élimination + back propagation sur un système 3 eq à 3 inconnues

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

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

Matrices - addition - Commutative - Même dimension uniquement - Idem différence - multiplication par un nombre réel : commutatif, distributif

Matrices multiplication - simple - Matrice ligne par matrice colonne : nombre réel - Pour multiplier on doit avoir na = on

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

Matrices multiplication - process cij = ai1 x b1j + ai2 x b2j + ... + ain x bpj

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)

Column multiplication On peut utiliser la multiplication en colonnes pour toute matrice :

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.

Inversibilite Une matrice carrée de n coeff est invertible ssi elle possède n pivots

Transposé d'une matrice

But the issue is not only life and death but our existence before God and our being judged by him. All of us were sinners before him and worthy of condemnation.

When I was a kid, my mom used to run the vacuum cleaner, and the noise would bother me so much that I would run into the woods to calm down. I feel like that vacuum cleaner has been on since I moved to New York City.

Sometimes, as an actor, you're so deeply immersed in a part that you lose control of it. If you're really lucky, a few times in your life it'll take you somewhere you never expected to go. It really blows the top off your understanding of your craft.

I loved Superman growing up. I saw a couple of those movies in the theater, and I watched 'Superman II' 8000 times.

I like to stay home a lot. I like to do other things too, like decorate or build.

Abundance flourishes in a grateful heart; gratutude is the secret of love.

Character is expressed through our behavior patterns, or natural responses to things.

Action and reaction, ebb and flow, trial and error, change - this is the rhythm of living. Out of our over-confidence, fear; out of our fear, clearer vision, fresh hope. And out of hope, progress.

Write with abandon and no constraints for first draft. Cut brutally and save in separate files on second draft. Add conflict; don't be afraid to make your characters suffer. Read what you love. Write what you love. Love.

Then in came this script with another very low offer, and another drug addict and a depressing and difficult part to play. I thought, 'Why should I put myself through that for hardly any money?'

Coral reefs represent some of the world's most spectacular beauty spots, but they are also the foundation of marine life: without them many of the sea's most exquisite species will not survive.

Algebra is generous; she often gives more than is asked of her.

Republicans have been accused of abandoning the poor. It's the other way around. They never vote for us.

Charm is the difference between a rote recitation of God bless you when someone sneezes and a genuine interest in the persons health.

Being an authority on paper does not immediately grant you authority over a group until it is earned by you and given by them.

Know that I am extremely proud of all that is 'Ween.'

I was familiar with 'Addicted' for a long time, even prior to the movie, way before it got the greenlight. And when it finally got the greenlight, I was very happy to be a part of it.

I absolutely adored Wuthering Heights and fell in love with Heathcliff as most girls do.

Kittens can happen to anyone.

Then when I reached college I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods.

Go where you add value. Don't look for places where you're just like everybody else.

I tour whether I have album out or not. I tour more than any other hip-hop artist.

The heart of a mother is a deep abyss at the bottom of which you will always find forgiveness.

Any powerful technology has sauce for the goose and the gander... It's just an extension of humanity.