Question: +1.2x - 4x + x = 0) 4. Linearize the system above about the operating point [1, 2], and then, by hand, determine the characteristic

+1.2x - 4x + x = 0) 4. Linearize the system above about the operating point [1, 2], and then, by hand, determine the characteristic equation for A. By hand, determine the eigenvalues of A. You are certainly allowed to get hints from MATLAB but show your work. Then, use MATLAB to compute the following: (a) The eigenvalues of the system at the point of interest. (b) What does this condition number tell us about the system this matrix represents? (c) The determinant of the A at the point of interest. (d) The determinant of AT at the point of interest. (e) What is the product of the eigenvalues at the point of interest? +1.2x - 4x + x = 0) 4. Linearize the system above about the operating point [1, 2], and then, by hand, determine the characteristic equation for A. By hand, determine the eigenvalues of A. You are certainly allowed to get hints from MATLAB but show your work. Then, use MATLAB to compute the following: (a) The eigenvalues of the system at the point of interest. (b) What does this condition number tell us about the system this matrix represents? (c) The determinant of the A at the point of interest. (d) The determinant of AT at the point of interest. (e) What is the product of the eigenvalues at the point of interest
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