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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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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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? Problem #4: 1 i 1+i 1 + i ®[ A] @[G7] @[#] (i) 1+i 1 (ii) + 1 (iii) −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. Select ✓ (A) (iii) only (B) (i) and (ii) only (C) (ii) and (iii) only (D) (i) only (E) (ii) only (F) (i) and (iii) only (G) all of them (H) none of them
Transcribed Image Text: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? Problem #4: 1 i 1+i 1 + i ®[ A] @[G7] @[#] (i) 1+i 1 (ii) + 1 (iii) −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. Select ✓ (A) (iii) only (B) (i) and (ii) only (C) (ii) and (iii) only (D) (i) only (E) (ii) only (F) (i) and (iii) only (G) all of them (H) none of them
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