For a unitary matrix A E M,(C). Which of the following is not true. Select one: O o(A) C {z € C: |2| = 1} O |det(A)| = 1 The rows vectors of A form an orthonormal basis w.r. t the Euclidean inner product in C every eigenvalue of A is pure imaginary || Ar|| = || A"x|| for all a E Cm

For a unitary matrix A E M,(C). Which of the following is not true. Select one: O o(A) C {z € C: |2| = 1} O |det(A)| = 1 The rows vectors of A form an orthonormal basis w.r. t the Euclidean inner product in C every eigenvalue of A is pure imaginary || Ar|| = || A"x|| for all a E Cm

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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Question

For a unitary matrix A E M,(C).
Which of the following is not true.
Select one:
O o(A) C {z € C: |2| = 1}
O (det(A)| = 1
The rows vectors of A form an
orthonormal basis
w.r. t the Euclidean inner product
in C
O every eigenvalue of A is pure
imaginary
O ||Ar|| = ||A*x|| for all a E C".
%3D

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