Let A be a 2 x 2 matrix with real entries. You are given that 6 – 3i is an 1- 3i eigenvalue of A with an associated eigenvector Use this information 1 a such that to find an invertible matrix P and a matrix C of the form a a11 a12 A = PCP¯1 If A = then the value of a11 is a21 a22

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A: As your question contains multiple subpart, so I only first 3 subparts.

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Q: Determine the eigenspaces of the matrix A. A = 1 1 -1 2

A: Given:       A=1101111-12