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In Exercises $9-16,$ find a basis for the eigenspace corresponding to each listed eigenvalue.$$A=\left[\begin{array}{rrr}{4} & {2} & {3} \\ {-1} & {1} & {-3} \\ {2} & {4} & {9}\end{array}\right], \lambda=3$$

$\left\{\left[\begin{array}{c}{-2} \\ {1} \\ {0}\end{array}\right],\left[\begin{array}{c}{-3} \\ {0} \\ {1}\end{array}\right]\right\}$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 1

Eigenvectors and Eigenvalues

Vectors

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Hello. Once on this question, we have to find the basis for the agony space for the value of Lambda is it was 23 So, first of all, you will calculate the value off a minus. Lambda, get Isei minus three. So when you find the value, it comes one minus one toe. Tu minus 24 today minus 36 So the argument trick argument that metrics will be Jesus. Jesus, Jesus! Okay, so this can be simplify this one. Gino Gino 20300 Gina, Gina. Gina. Right. So the next step is right. The equation that is excellent. Plus two x two plus three x three is a quest to judo. Your next two and x three are free free variables. So there's another solution off the a minus three i x is a questo x as minus two x two minus two x three So U minus three x three Yeah, yeah minus three x three x two and x ray. Right. This can be written us x two minus 210 plus x day. I necessary, Jovan. Correct. So the basis for documenting Netflix is minus 210 and minus 301 So these are the basis for that again.

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