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Chapter 7: Q20E (page 372)

Find all complex eigenvalues of the matrices in Exercises 20 through 26 (including the real ones, of course). Do not use technology. Show all your work.

[3-52-3]

Short Answer

Expert verified

位1,2=卤i

Step by step solution

01

Define eigen values

The scalar values correlated to the system of linear equations, mostly comprising of matrix are called eigen values.

02

Find complex eigenvalues of the matrices

If the n 脳 n matrix A has real entries, its complex eigenvalues will always occur in complex conjugate pairs.

Solve,

det(A-位濒)3-位-523-位=0 det(A-位l)=03-位-523-位=0

3-位3-位+10=0位2+1=0位1,2=卤i

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