Evaluate the determinant of the matrix using the cofactor method and 1 1 3 specify which row or column is used A= (1 1 -
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Evaluate the determinant of the matrix using the cofactor method and 1 1 3 specify which row or column is used A= (1 1 -
Evaluate the determinant of the matrix using the cofactor method and 1 1 3 specify which row or column is used A= (1 1 -3 3 -3 -3 Given A = (5 2 + i) determine |Ā| ie the length. Should the result have a complex component? Why not? Orthogonalize the following vectors A=(0,1,1), B=(1,0,1), C=(2,1,0). Give examples of 4x4 Symmetric and Hermitian Matrices. Verify that they satisfy the properties of these matrices. Find the eigenvalues and eigenvectors of the Hermitian matrix ( 3 1+ i 1-1 2 (a) Normalize the eigenvectors of the matrix. (b) Find the Unitary Matrix U which diagonalizes the Matrix H using a similarity transformation. Determine the diagonal matrix. Find the 4th root of z = 10 (1 - i). Draw the solutions on the complex plane. What's the angle between each of the roots? [20] A filter includes a capacitor, inductor, and resistor on the input side and two inductors and a resistor on the output side. Use complex variable to show the behavior of the circuit, ie Vout! as w → . Vin' = 3
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