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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Ruffini Method Calculator >

(\partial)/(\partial x)(xy)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

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固有値 (

1	2	1
6	−1	0
−1	−2	−1

)

Solution

λ=0, λ=3, λ=−4

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Solution steps

One step at a time

(

1	2	1
6	−1	0
−1	−2	−1

)

行列固有値

A が正方行列,η がベクトル,λ がスカラーで,Aη=λη を満たすとする。
ならば,λ は A の固有ベクトル η に関連のある固有値と呼ばれる

A の固有値は,指標 equation det(A−λ I)=0 の根である

det((

1	2	1
6	−1	0
−1	−2	−1

)−λ(

1	0	0
0	1	0
0	0	1

)): −λ³−λ²+12λ

解く −λ³−λ²+12λ=0: λ=0, λ=3, λ=−4

固有値は:

λ=0, λ=3, λ=−4

Ruffini Method Examples

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