Question: 1) Answer the following questions using the properties of eigenvalues and eigenvectors. (a) The determinant of the 4 4 matrix A is 96, and

1) Answer the following questions using the properties of eigenvalues and eigenvectors. (a) The determinant of the 4 4 matrix A is 96, and three of the eigenvalues are 8, -4, and 1. What is the fourth eigenvalue? (b) If the eigenvalues of the following matrix are 18.465, 44.414, 199.598 and b, then what is the value of b? A I 100 54 18 37 93 62 25 62 88 14 25 14 66 54 18 37

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