Question: Please help me with this problem, including brief explanation and steps. It's one question with three parts. Sorry. Suppose I have 2 x 2 matrix

Please help me with this problem, including brief explanation and steps. It's one question with three parts. Sorry.

Suppose I have 2 x 2 matrix A with eigenvalue A; = 1.12 = 1 {repeated eigenvalue) and curre- sppnding eigenvectcrs v1 = [1.1] and v2 = [L1, 1]. (a) What is the geometric multiplictzlr of this eigenvalue? What is the algebraic multiplicity of this eigenvalue? What is the defect? (b) What is e\"? (c) Solve X' = AX with X(0) = [3, 4]

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