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Let each matrix in Exercises 1–6 act on C2. Find the
Chapter 5, Problem 1E(choose chapter or problem)
QUESTION:
Let each matrix in Exercises 1–6 act on C2. Find the eigenvalues and a basis for each eigenspace in C2.
Questions & Answers
QUESTION:
Let each matrix in Exercises 1–6 act on C2. Find the eigenvalues and a basis for each eigenspace in C2.
ANSWER:Solution 1EStep 1 Consider the matrix .The objective is to find the eigenvalues and a basis for each eigenspace in The characteristic equation of A is, Use the quadratic formula to find the eigenvalues: Therefore the eigenvalues are