Recent content by LingliRS
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Graduate How to rotate a 3D complex vector?
In k=Trace([S]A), S=[a, b; c, d], and b = c, so we have a 3D vector. I am sorry to have made you confused. I did not understand the orthogonality for using R^n system at first. The elements in vector k are not completely orthogonal to each other. Their correlation coefficients are not zero. I...- LingliRS
- Post #7
- Forum: Linear and Abstract Algebra
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Graduate How to rotate a 3D complex vector?
Chiro, thank you for your patient and time. I do not understand how to convert the system to eight-dimensions now. The eight-dimensions vector is not made up by four independent real components, and four independent complex components simply. And I do not understand the relationship between...- LingliRS
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate How to rotate a 3D complex vector?
Thank you for your reply! I just know the vectors rotated before and after, and I do not know the angle information. The known vector k is defined in k=Trace([S]A),Trace()is the sum of the diagonal elements of the matrix inside. S is 2*2 complex matrix, given by S=[a,b;b*,c], and A is a...- LingliRS
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate How to rotate a 3D complex vector?
Hello, I have a 3D complex vector k=[k1,k2,k3], and k1, k2, k3 are complex numbers respectively. Now, I want to rotate k to a new vector t=[1 0 0]. However, I do not know the mathematical expression of rotation matrix. What is the difference between rotation in real domain and rotation in...- LingliRS
- Thread
- 3d Complex Rotate Vector
- Replies: 6
- Forum: Linear and Abstract Algebra