axe y=-2x^2-2x-2

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

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∫ x+1√x dx

Solution

23 x³²+2√x+C

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Solution steps

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(

1	−2
0	2

)

Valeurs propres d'une matrice

Soit A une matrice carrée, η un vecteur et λ un scalaire qui répond à Aη=λη,
alors λ iest appelée la valeur propre associée avec le vecteur propre η de A

Les valeurs propres de A sont les racines de l'équation caractéristique det(A−λ I)=0

det((

1	−2
0	2

)−λ(

1	0
0	1

)): (−λ+1)(−λ+2)

Résoudre (−λ+1)(−λ+2)=0: λ=1, λ=2

Les valeurs propres sont :

λ=1, λ=2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

axe y=-2x^2-2x-2

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