- #1

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## Homework Statement

Prove or disprove the title of this thread.

## Homework Equations

AX=(lamda)X

## The Attempt at a Solution

I don't know where to start

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- Thread starter nicknaq
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- #1

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Prove or disprove the title of this thread.

AX=(lamda)X

I don't know where to start

- #2

Mark44

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## Homework Statement

Prove or disprove the title of this thread.

## Homework Equations

AX=(lamda)X

## The Attempt at a Solution

I don't know where to start

Start with the process you use to find the eigenvalues of a 3 x 3 matrix, which involves a determinant to get the characteristic equation for the matrix. What degree equation would you expect to get?

- #3

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Start with the process you use to find the eigenvalues of a 3 x 3 matrix, which involves a determinant to get the characteristic equation for the matrix. What degree equation would you expect to get?

an equation of degree 3

- #4

Mark44

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So it's not possible for a 3 x 3 matrix to have four eigenvalues, right?

- #5

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So it's not possible for a 3 x 3 matrix to have four eigenvalues, right?

right. Is there any proof that I can say for why an equation of degree 3 cannot have 4 solutions?

I guess it's obvious though.

- #6

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how to solve for eigen values. I think we need to take determinant. of A -[tex]\lambda[/tex] I

so we will get [tex]\lambda[/tex] cube in the equation which obviously will give three values of [tex]\lambda[/tex]

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