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Is $\left[\begin{array}{c}{-1+\sqrt{2}} \\ {1}\end{array}\right]$ an eigenvector of $\left[\begin{array}{ll}{2} & {1} \\ {1} & {4}\end{array}\right] ?$ If so, find the eigenvalue.

The vector $\left[\begin{array}{c}{-1+\sqrt{2}} \\ {1}\end{array}\right]$ is an eigen vector of the matrix $\left[\begin{array}{cc}{2} & {1} \\ {1} & {4}\end{array}\right]$ corresponding to the eigen value $\lambda=\sqrt{2}+3$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 1

Eigenvectors and Eigenvalues

Vectors

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Lectures

02:56

In mathematics, a vector (…

06:36

01:20

Is $\lambda=3$ an eigenval…

04:41

Is $\lambda=4$ an eigenval…

00:29

Is $\left[\begin{array}{r}…

01:59

Given that $\mathbf{v}_{1}…

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01:10

Is $\left[\begin{array}{l}…

20:00

Let $A=\left[\begin{array}…

02:40

07:07

Determine whether or not $…

00:57

Is $\lambda=-2$ an eigenva…

Okay, so we're asked if the following is that? I get back there to one. What? Four. So it's more to play that together. So we have negative one plus skirt too. And one. What does that give me? That This gives me a negative one. Plus juice. Go over it with two in three plus group too. Okay, Now, let's multiply. Dream Plus screwed too. With our first don't you hear? That gives me *** three plus two plus a visit. It's negative. One us to skirt too. Okay, So since I'm want to play this together and this actually matches are furs and G of X, we have negative one of courage to and one as in Aiken back, they obey. And that corresponds to the Alien Valley in three plus two.

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Verify that the signals in Exercises 1 and 2 are solutions of the accompanyi…

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In Exercises $9-16,$ find a basis for the eigenspace corresponding to each l…

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Let $\mathcal{B}=\left\{\mathbf{b}_{1}, \mathbf{b}_{2}, \mathbf{b}_{3}\right…

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