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 - 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

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)

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

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

'Closed timelike curve' is the jargon for time travel. It means you go out, come back and meet yourself in the past.

At Babbo, each dish grew out of a conversation, trying to put something forth that was new and different. It was a combination of culinary adventurism and the dining-room experience with respect for the classic but with an eye toward innovation. And it was about eating locally, whether produce or fish or meat.

I am instantly 70% nicer after 3pm on Fridays.

I once won a Grammy for an Australian version of 'Turn the Page' that another artist did; I can't remember his name. There've been covers down through the years around the world, but I did like Metallica's, because I kind of related to Metallica when they first came out, because Jimmy Hetfield really reminded me of me in 1965, you know?

Trying to explain Turing's work in encryption and decryption? It's complicated.

Thanks to the Interstate Highway System, it is now possible to travel across the country from coast to coast without seeing anything.

I've also just finished filming the role of Robert Brown in 'Just William,' which is due to transmit on BBC One at Christmas.

I feel my writing comes from a desire to... well, it's motivated by many things, but it's inherently a contradiction in that I'm writing for myself, and it's a very interior journey. On the other hand, I feel that writers do make that interior journey out of a desire to connect.

I have like 20 snap-up shirts in my closet, and I never, never would have thought before FNL would I have had that.

It's hard to talk about acting because I don't think it's quite as explicit as a lot of people might think. And that's probably the best thing about it.

Luck consists largely of hanging on by your fingernails until things start to go your way.

Being a wine enthusiast means you care more about quality than quantity.

As a diabetic, I'm a walking picnic. I have to eat measured amounts of food at certain times.

Once typecast as the indispensable altarpiece of a well-appointed living room, TVs have infected every human environment. The average American household has more television sets than people.

I am a tough guy / With a soft heart / That's why people / Hurt me internally / Not externally

Doubts are death. Doubts are the dry rot of life.

The higher you climb, the heavier you fall.

As long as youre too busy trying to become something that youre not you cant see your own immortality.

There are many Sheriff Arpaios. People who have taken to local city, county, and state governments across the county the idea that immigrants are the problem. That immigrants are to blame.

Confidence... thrives on honesty on honor on the sacredness of obligations on faithful protection and on unselfish performance. Without them it cannot live.

If you go through any culture that has had wars, go to the bomb shelters, and you'll hear some amazing stories. Yes, it's a necessary thing that we actually both distract ourselves and it's a way to bond.

All's well that ends well.

I have no experience performing that music live in front of an audience. So that remains to be seen. I'm very excited to see what that's going to be like.

By the time I was a senior in high school, I knew I wanted to move to Silicon Valley and learn more about computers and the Internet. I just fell in love with technology and the potential of everything the Internet had to offer.