The complex conjugate of the 1x2 matrix A = [(5) (-2i)] is calculated as A* = [(5) (2i)], while the Hermitian conjugate, denoted as A†, is A† = [(5) (2i)]^T = [(5) (2i)]. The discussion highlights the importance of distinguishing between the complex conjugate and the Hermitian conjugate, as both are essential in linear algebra. The correct answers confirm that the complex conjugate involves changing the sign of the imaginary part.
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ZedCar said:Homework Statement
1x2 Matrix A =
[(5) (-2i)]
What is the complex conjugate and Hermitian conjugate of this matrix?
Homework Equations
The Attempt at a Solution
D^T =
5
-2i
D^H =
5
+2i
What do you think of my answers?