(Solution) - In Example 2 solve the first equation in 2 for -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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In Example 2, solve the first equation in (2) for x2 in terms of x1, and from that produce the eigenvector

In Example 2, solve the first equation in (2) for
for the matrix A. Show that this y is a (complex) multiple of the vector v1 used in Example 2.