G. Conjugate of a Matrix 3 - i -3i 6+ 21], k = -3, c = -1+ 2i 5- 4il 4+i Let A = B = 15+2i 3i and the following are the properties of the conjugate of a matrix. Verify the following equivalence. 1. Å = A. 2. Á+B = Ã + B. = B. 3. AB =
G. Conjugate of a Matrix 3 - i -3i 6+ 21], k = -3, c = -1+ 2i 5- 4il 4+i Let A = B = 15+2i 3i and the following are the properties of the conjugate of a matrix. Verify the following equivalence. 1. Å = A. 2. Á+B = Ã + B. = B. 3. AB =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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![G. Conjugate of a Matrix
Let A = [4 +i 3- i
Is+ 2i 1.
-3i 6+ 2i]
B =
7
5- 4il
k = -3, c= -1+ 2i
and the following are the properties of the conjugate of a matrix. Verify the following
equivalence.
1. A A.
2. A+B = Ã+ B.
à B.
3. АВ 3D
real number k, kà = kA.
CÃ = CA.
4. For
any
5. For any complex number c,
%3D
6. (Ã)" = A
7. If A is nonsingular, then (A)= A-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e9697e-e570-473f-be02-4b36f207ef53%2F462f132c-9939-4013-872f-064011a2bb9b%2F53vnnzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:G. Conjugate of a Matrix
Let A = [4 +i 3- i
Is+ 2i 1.
-3i 6+ 2i]
B =
7
5- 4il
k = -3, c= -1+ 2i
and the following are the properties of the conjugate of a matrix. Verify the following
equivalence.
1. A A.
2. A+B = Ã+ B.
à B.
3. АВ 3D
real number k, kà = kA.
CÃ = CA.
4. For
any
5. For any complex number c,
%3D
6. (Ã)" = A
7. If A is nonsingular, then (A)= A-1
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