parity (x^2+2x-1)*(2x^2-3x+6)

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eigenvalues (

1	2
0	−1

)

Solution

λ=1, λ=−1

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(

1	2
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((

1	2
0	−1

)−λ(

1	0
0	1

)): (−λ+1)(−λ−1)

Solve (−λ+1)(−λ−1)=0: λ=1, λ=−1

The eigenvalues are:

λ=1, λ=−1

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1	2
0	−1

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

parity (x^2+2x-1)*(2x^2-3x+6)

Solution

Solution steps

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