Problem #4: A matrix with complex entires is called unitary if A-¹ = A*, where A* is the conjugate transpose described in the Tutorial 4 file. Which of the following matrices are unitary? (i) 1 + i i [A] ®*G 1 (ii) 1 1 + i (iii) +i 1-i 1 + i -1+i Note: Testing matrices for equality is always subject to the usual innacuracies in floating point arithmetic. So for the purpose of this problem, you can consider two matrices to be equal if their entries agree to at least 4 decimal places. Warning! Don't forget the constants in front of each matrix. They are crucial for this problem.

Problem #4: A matrix with complex entires is called unitary if A-¹ = A, where A is the conjugate transpose described in the Tutorial 4 file. Which of the following matrices are unitary? (i) 1 + i i [A] ®*G 1 (ii) 1 1 + i (iii) +i 1-i 1 + i -1+i Note: Testing matrices for equality is always subject to the usual innacuracies in floating point arithmetic. So for the purpose of this problem, you can consider two matrices to be equal if their entries agree to at least 4 decimal places. Warning! Don't forget the constants in front of each matrix. They are crucial for this problem.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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