Question: Problem Set 34 Eigenvector Properties objectives: Find the trace of a matrix Apply properties of elgenvectors Problem 1: Suppose a matrix A has elgenvalues -4,

Problem Set 34 Eigenvector Properties objectives: Find the trace of a matrix Apply properties of elgenvectors Problem 1: Suppose a matrix A has elgenvalues -4, 0, 1. 5, and 9. Is A Invertible? How do we know? Problem 2: Find the eigenvalues (not elgenvectors] of the following matrix: 1Problem 3: Find the trace of the following matrix: C= Problem 4: Three of the elgenvalues of the matrix C In the previous problem are 1, 2, and 3. Using the answer to Problem 3, what Is the fourth eigenvalue for C

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