have at least one correct answer，multiple corrct answers Let A be a Hermitian matrix. Which of the following statements about A are always TRUE?Select all that apply.ATA.The eigenvalues of A are nonnegative.AN = A.The eigenvalues of A are real.All eigenvectors of A are real. Let U be a unitary matrix. Which of the following statements about U are always TRUE? Selectall that apply.UNU.DUT-U-.Ux| = |x| for all x € C",If A is an eigenvalue of U, then A=1.U=U1.-D (Ux, Uy) = (x, y) for all x, y eC".

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Let A be a Hermitian matrix. Which of the following statements about A are always TRUE? Select all that apply. ATA. The eigenvalues of A are nonnegative. JAN = A. The eigenvalues of A are real. All eigenvectors of A are real.

Let A be a Hermitian matrix. Which of the following statements about A are always TRUE? Select all that apply. ATA. The eigenvalues of A are nonnegative. JAN = A. The eigenvalues of A are real. All eigenvectors of A are real.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 26EQ

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Question

have at least one correct answer，multiple corrct answers

Let A be a Hermitian matrix. Which of the following statements about A are always TRUE?
Select all that apply.
ATA.
The eigenvalues of A are nonnegative.
AN = A.
The eigenvalues of A are real.
All eigenvectors of A are real.

Let U be a unitary matrix. Which of the following statements about U are always TRUE? Select
all that apply.
UNU.
DUT-U-.
Ux| = |x| for all x € C",
If A is an eigenvalue of U, then A=1.
U=U1.
-
D (Ux, Uy) = (x, y) for all x, y eC".

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