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In Exercises $9-16,$ find a basis for the eigenspace corresponding to each listed eigenvalue.$$A=\left[\begin{array}{rr}{10} & {-9} \\ {4} & {-2}\end{array}\right], \lambda=4$$

A basis vector for the Eigen space corresponding to 4 is $\left[\begin{array}{c}{3 / 2} \\ {1}\end{array}\right]$ or $\left[\begin{array}{l}{3} \\ {2}\end{array}\right]$

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 1

Eigenvectors and Eigenvalues

Vectors

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Yeah. Okay. So let's compute anyone. It's for I. It's 10 nine for another two minus for girl so forth. That gives me six negative nine for negative six. Okay, if you don't make it. And just so he gets six negative nine mil for negative six. So Okay, so we have that X one tentacle to actually be over two x two. So you can say the X two is free. So general solution X one x two is equal to three over two x two and x two Pull out our ex too, to your next two times. Three over two and one. This is Ah, Are you in space?

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