[1 0 17 C=0 1 1: 0 1 0 [1 1 1 D=0 0 1- 10 0 Го A = Let B = [1 07 1 0 0 1] E-1 0 1 0 10 10 1 1 F- 0 0 1 0 Find: 1. AvB 6. A AB 2. A*B 7. C VD 3. DAD S. C*D

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 15E
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F. Boolean Matrices
To 1
1 0
[1 0 17
C=0 1 1
0 1 0
[1 1 1]
D=0 0 1:
1 0 0
Let
[1 07
1 0 0 1]
E=1 0 10
1 0 1 0
1 1
F
0 0
1 0
Find:
1. AvB
6. A AB
2. A*B
7. C VD
3. DAD
S. C*D
4. EVF
9. EAF
5. E *F
10. 2A – 3B
G. Conjugate of a Matrix
[4 +i 3-i]
Let A =|
15 + 21
-3i 6+ 2i]
5- 4il
B =
k =-3, c= -1+ 2i
3i
and the following are the properties of the conjugate of a matrix. Verify the following
equivalence.
1. Ä = A.
2. A+B = Â + B.
3. AB =
Ā B.
4. For any real number k kĀ = kA.
5. For any complex number c, cA = CA.
6. (Ā)" = A
7. If A is nonsingular, then (A) = 1
Transcribed Image Text:F. Boolean Matrices To 1 1 0 [1 0 17 C=0 1 1 0 1 0 [1 1 1] D=0 0 1: 1 0 0 Let [1 07 1 0 0 1] E=1 0 10 1 0 1 0 1 1 F 0 0 1 0 Find: 1. AvB 6. A AB 2. A*B 7. C VD 3. DAD S. C*D 4. EVF 9. EAF 5. E *F 10. 2A – 3B G. Conjugate of a Matrix [4 +i 3-i] Let A =| 15 + 21 -3i 6+ 2i] 5- 4il B = k =-3, c= -1+ 2i 3i and the following are the properties of the conjugate of a matrix. Verify the following equivalence. 1. Ä = A. 2. A+B = Â + B. 3. AB = Ā B. 4. For any real number k kĀ = kA. 5. For any complex number c, cA = CA. 6. (Ā)" = A 7. If A is nonsingular, then (A) = 1
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