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Matrix Eigenvalues Calculator- Free Online Calculator With Steps & Examples

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eigenvectors (

1	−2
−2	0

)

Solution

(

−1−√17

), (

−1+√17

)

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(

1	−2
−2	0

)

Matrix eigenvectors

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

To find the eigenvectors η, solve (A−λ I)η=0 for each eigenvalue λ

Find the eigenvalues for (

1	−2
−2	0

): λ=1+√172 , λ=1−√172

Eigenvectors for λ=1+√172 : (

−1−√17

)

Eigenvectors for λ=1−√172 : (

−1+√17

)

The eigenvectors for (

1	−2
−2	0

)

−1−√17

), (

−1+√17

)

Matrix Eigenvalues Examples

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1	−2
−2	0

) or choose below

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

6	−1
2	3

2	0	0
1	2	1
−1	0	1

1	2	1
6	−1	0
−1	−2	−1

Matrix Eigenvalues Calculator- Free Online Calculator With Steps & Examples

Solution

Solution steps

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