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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F324d2399-7c16-4255-9612-7ea336b734b4%2F8dab318c-d8fb-4897-99bf-c15978dbe2ee%2Fzoxwq0g_processed.png&w=3840&q=75)
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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