1. z= 2-3i. Find z* |2|| 2. Evaluate the determinant of the matrix using the cofactor method and 1 3 specify which row o

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1 Z 2 3i Find Z 2 2 Evaluate The Determinant Of The Matrix Using The Cofactor Method And 1 3 Specify Which Row O 1 (633.42 KiB) Viewed 17 times

1. z= 2-3i. Find z* |2|| 2. Evaluate the determinant of the matrix using the cofactor method and 1 3 specify which row or column is used A 1 -3 3 -3 -3 = 3. Given A (5 2+i) determine |Ā| ie the length. Should the result have a complex component? Why not? 4. Orthogonalize the following vectors A=(0,1,1), B=(1,0,1), C=(2,1,0). 5. Give examples of 4x4 Symmetric and Hermitian Matrices. Verify that they satisfy the properties of these matrices. 6. Find the eigenvalues and eigenvectors of the Hermitian matrix (14i 3 + 1 2 (a) Normalize the eigenvectors of the matrix. (b) Find the Unitary Matrix U which diagonalizes the Matrix H using a similarity transformation. (c) Determine the diagonal matrix. 7. Find the 4th root of z= 19 (1–2). Draw the solutions on the complex plane. What's the angle between each of the roots? 8. [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 Vout| variable to show the behavior of the circuit, ie as w. |Vinſ 7