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- is the order of the Hermitian matrix.
- This function gives the Hermitian matrix of order 3.
- A Hermitian matrix is defined as the square matrix with complex entries which is equal to its own conjugate transpose.
- i.e., the matrix A is Hermitian if and only if , where denotes the conjugate transpose, which is equivalent to the condition .
- A hermitian matrix is also called as self-adjoint matrix.
- The following matrix is the example of 3x3 Hermitian matrix:
- The diagonal elements must be real, as they must be their own complex conjugate.
- An integer or real matrix is Hermitian iff it is symmetric.
- In calci, users can change the order and number of the Hermitian matrices.
- 1.MATRIX("hermitian") = -72
|-62||-48 + 4i||49 + -40i|
|-48 + -4i||-54||0 + 34i|
|49 + 40i||0 + -34i||-33|
|-90||-75 + 79i||56 + -17i||92 + -51i||-13 + -21i|
|-75 + -79i||-19||-77 + -19i||42 + 47i||83 + -95i|
|56 + 17i||-77 + 19i||-60||-25 + -26i||88 + -81i|
|92 + 51i||42 + -47i||-25 + 26i||-89||-70 + -92i|
|-13 + 21i||83 + 95i||88 + 81i||-70 + 92i||-7|