linéaire y^{\prime \prime}-4y=0

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

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√☐

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log_□

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
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valeurs propres (

3	2	4
2	0	2
4	2	3

)

Solution

λ=−1avec une multiplicité de2, λ=8

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(

3	2	4
2	0	2
4	2	3

)

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((

3	2	4
2	0	2
4	2	3

)−λ(

1	0	0
0	1	0
0	0	1

)): −λ³+6λ²+15λ+8

Résoudre −λ³+6λ²+15λ+8=0: λ=−1avec une multiplicité de2, λ=8

Les valeurs propres sont :

λ=−1avec une multiplicité de2, λ=8

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3	2	4
2	0	2
4	2	3

) ou choisissez ci-dessous

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

linéaire y^{\prime \prime}-4y=0

Solution

Solution steps

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