Transposé d'une matrice

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)

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

One of the things about writing fiction is that you create people that you feel, more or less, as though you know.

M. F. K. Fisher was a wonder and a huge influence, and someone I got to know pretty well at the end of her life.

My average day on 'Leverage' starts at 5 A. M. and ends 12 to 14 hours later. An hour drive to the set and back sometimes makes the day unbearably long. You have to grab a few minutes to yourself where you can.

Rescuing women from their burden of unwarranted guilt is going to require 'educational practices and socializing agents' even more effective than the ones that have been relentlessly loading female humans with responsibility for other people's behavior from their earliest childhood.

The fact is, it was a big show. We were a part of that show. Everybody watches for different reasons. There were some people who were tuning in that day to see what was going on with other characters.

I'd always suspected my face wouldn't fit in drama departments. And it never did!

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A bride is a woman with a fine prospect of happiness behind her.

I enjoy working with the American Cancer Society because I fully support its mission of saving lives and creating a world with less cancer and more birthdays for everyone.

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I hope my daughter, and one day my granddaughters, will be at Dodgers Opening Day.

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I still think of that guy I was without a wife or kids, and I still want to entertain that guy. The lonely guy, the frustrated guy, the guy with no money - this is the guy who needs to laugh.

I was a kind of angsty teenager and I would write diaries and write stuff down all the time. Sometimes I get to the level on stage where I'm singing and it feels heavy, but not always.

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I wonder sometimes why the U.S. reviewers are more negative towards turn-based battle systems.

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