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necessarily normal and thus may not have a spectral decomposition. However, they have a related DE Mn(R) UE Mn(C) Hermitian A* = A Real symmetric DE Mn(R) AT = A U E Mn(R) decomposition that is presented in Exercise 2.3.26. Table 2.1: A summary of which parts of complex for different types of matrices Exercises solu 2.1.4 F 2.1.1 For each of the following matrices, say whether it is (i) unitary, (ii) Hermitian, (iii) skew-Hermitian, (iv) normal. It may have multiple properties or even none of the listed properties. ng norm *(a) 1. 3. 4 2. (в) * b) 2. -2 2 1. 1. 2i (p) 1. (a) * (a) * (e) 1+ (F) 0. (8) 0. 1. -1 2i 2.1.5 I 0. true and 2.1.2 Determine which of the following matrices are nor- (a) If mal. * (b) If (b) 1 1 1 (в) * -1 * (d) TI (e) If 1. 3. 1.

necessarily normal and thus may not have a spectral decomposition. However, they have a related DE Mn(R) UE Mn(C) Hermitian A* = A Real symmetric DE Mn(R) AT = A U E Mn(R) decomposition that is presented in Exercise 2.3.26. Table 2.1: A summary of which parts of complex for different types of matrices Exercises solu 2.1.4 F 2.1.1 For each of the following matrices, say whether it is (i) unitary, (ii) Hermitian, (iii) skew-Hermitian, (iv) normal. It may have multiple properties or even none of the listed properties. ng norm *(a) 1. 3. 4 2. (в) * b) 2. -2 2 1. 1. 2i (p) 1. (a) * (a) * (e) 1+ (F) 0. (8) 0. 1. -1 2i 2.1.5 I 0. true and 2.1.2 Determine which of the following matrices are nor- (a) If mal. * (b) If (b) 1 1 1 (в) * -1 * (d) TI (e) If 1. 3. 1.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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necessarily normal and thus may not have a spectral decomposition. However, they have a related DE Mn(R) UE Mn(C) Hermitian A* = A Real symmetric DE Mn(R) AT = A U E Mn(R) decomposition that is presented in Exercise 2.3.26. Table 2.1: A summary of which parts of complex for different types of matrices Exercises solu 2.1.4 F 2.1.1 For each of the following matrices, say whether it is (i) unitary, (ii) Hermitian, (iii) skew-Hermitian, (iv) normal. It may have multiple properties or even none of the listed properties. ng norm *(a) 1. 3. 4 2. (в) * b) 2. -2 2 1. 1. 2i (p) 1. (a) * (a) * (e) 1+ (F) 0. (8) 0. 1. -1 2i 2.1.5 I 0. true and 2.1.2 Determine which of the following matrices are nor- (a) If mal. * (b) If (b) 1 1 1 (в) * -1 * (d) TI (e) If 1. 3. 1.
Transcribed Image Text:necessarily normal and thus may not have a spectral decomposition. However, they have a related DE Mn(R) UE Mn(C) Hermitian A* = A Real symmetric DE Mn(R) AT = A U E Mn(R) decomposition that is presented in Exercise 2.3.26. Table 2.1: A summary of which parts of complex for different types of matrices Exercises solu 2.1.4 F 2.1.1 For each of the following matrices, say whether it is (i) unitary, (ii) Hermitian, (iii) skew-Hermitian, (iv) normal. It may have multiple properties or even none of the listed properties. ng norm *(a) 1. 3. 4 2. (в) * b) 2. -2 2 1. 1. 2i (p) 1. (a) * (a) * (e) 1+ (F) 0. (8) 0. 1. -1 2i 2.1.5 I 0. true and 2.1.2 Determine which of the following matrices are nor- (a) If mal. * (b) If (b) 1 1 1 (в) * -1 * (d) TI (e) If 1. 3. 1.
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