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Matrix Eigenvalues Calculator- Free Online Calculator With Steps & Examples

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eigenvalues (

2	0	0
1	2	1
−1	0	1

)

Solution

λ=2 with multiplicity of 2, λ=1

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(

2	0	0
1	2	1
−1	0	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((

2	0	0
1	2	1
−1	0	1

)−λ(

1	0	0
0	1	0
0	0	1

)): (2−λ)²(−λ+1)

Solve (2−λ)²(−λ+1)=0: λ=2 with multiplicity of 2, λ=1

The eigenvalues are:

λ=2 with multiplicity of 2, λ=1

Matrix Eigenvalues Examples

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2	0	0
1	2	1
−1	0	1

) or choose below

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

1	−2
−2	0

Matrix Eigenvalues Calculator- Free Online Calculator With Steps & Examples

Solution

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