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Matrix LU Decomposition Calculator

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

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eigenvalues (

1	2	3
4	6	9
3	7	1

)

Solution

λ≈ −0.29430…, λ≈ −4.89485…, λ≈ 13.18915…

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(

1	2	3
4	6	9
3	7	1

)

Matrix eigenvalues

Let A be a square matrix, η a vector and λ a scalar that satisfy Aη=λη,
then λ is called the eigenvalue associated with the eigenvector η of A

The eigenvalues of A are the roots of the characteristic equation det(A−λ I)=0

det((

1	2	3
4	6	9
3	7	1

)−λ(

1	0	0
0	1	0
0	0	1

)): −λ³+8λ²+67λ+19

Solve −λ³+8λ²+67λ+19=0: λ≈ −0.29430…, λ≈ −4.89485…, λ≈ 13.18915…

The eigenvalues are:

λ≈ −0.29430…, λ≈ −4.89485…, λ≈ 13.18915…

Matrix LU Decomposition Examples

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CHÀO, hỏi một câu hỏi về eigenvalues (

1	2	3
4	6	9
3	7	1

)

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Notebook

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

Matrix LU Decomposition Calculator

Solution

Solution steps

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