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Is $\lambda=2$ an eigenvalue of $\left[\begin{array}{ll}{3} & {2} \\ {3} & {8}\end{array}\right] ?$ Why or why not?

Yes

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 1

Eigenvectors and Eigenvalues

Vectors

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Lectures

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In mathematics, a vector (…

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Is $\lambda=-2$ an eigenva…

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Is $\lambda=3$ an eigenval…

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Is $\left[\begin{array}{l}…

00:29

Is $\left[\begin{array}{r}…

04:41

Is $\lambda=4$ an eigenval…

Is $\left[\begin{array}{c}…

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$A$ is a $3 \times 3$ matr…

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Determine whether or not $…

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$A$ is a $4 \times 4$ matr…

So we just want to check whether lambda satisfies the equation. Determine on and off a minus, Lambda I or not so trim. None of a minus loved. I is determinant of this matrix minus lander names I, which is Lambda 00 Roland, this is a quarter determine and off. Three minus lender. Oh, three. And if my Muslim and it'll not of this two by two matrix is just three minus. Lander names. Eight minus. Landau minus six. Okay, now, if I substitute land, I could do in this. I get three minus two. I'm ST minus stool minus six, which is equal to Zito. Solando satisfies this equation. So yes, Land I Quito is an and really 20.

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