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Find the characteristic polynomial and the eigenvalues of the matrices in Exercises 1–8.$$\left[\begin{array}{rr}{7} & {-2} \\ {2} & {3}\end{array}\right]$$

5 and 5

Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 2

The Characteristic Equation

Vectors

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Okay, so aim when it slammed that I That gives me seven minus lambda to they're gonna steal and dream on Is Lambda Well, let's find a determinant of a harness. Lambda I That gives me on the squared minus tan Lambda 25 Factoring that, we just get Landa minus five squared. So our solution or Aiken values five with multiplicity.

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