Question: please help with this problem: Suppose I have 2 x 2 matrix A with eigenvalue X1 = 1, 12 = 1 (repeated eigenvalue) and corre-

please help with this problem:

Suppose I have 2 x 2 matrix A with eigenvalue X1 = 1, 12 = 1 (repeated eigenvalue) and corre- sponding eigenvectors v1 = [1, 1] and v2 = [0, 1]. (a) What is the geometric multiplicty of this eigenvalue? What is the algebraic multiplicity of this eigenvalue? What is the defect? (b) What is etA?(c) Solve X = AX with X(0) = [3, 4]

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