G. Conjugate of a Matrix [-3i 6+2i. k = -3, c =-1+ 2i 5- 4il' 4+i Let A = 3 B = 7 15+2i and the following are the properties of the conjugate of a matrix. Verify the following equivalence. 5. For any complex number c, c = CA. %3D ー1 7. If A is nonsingular, then (A) ミA-1

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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G. Conjugate of a Matrix
Let A =
[4 +i
15 + 2i
6+ 2i]
5- 4il'
3 - i]
-3i
B =
7
k =-3, c= -1+ 2i
and the following are the properties of the conjugate of a matrix. Verify the following
equivalence.
5. For any complex number c, cA = CA.
%3D
7. If A is nonsingular, then (A) = A
%3D
Transcribed Image Text:G. Conjugate of a Matrix Let A = [4 +i 15 + 2i 6+ 2i] 5- 4il' 3 - i] -3i B = 7 k =-3, c= -1+ 2i and the following are the properties of the conjugate of a matrix. Verify the following equivalence. 5. For any complex number c, cA = CA. %3D 7. If A is nonsingular, then (A) = A %3D
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