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| 27 Jan 2012 11:44 PM |
In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, or adjoint matrix of an m-by-n matrix A with complex entries is the n-by-m matrix A* obtained from A by taking the transpose and then taking the complex conjugate of each entry (i.e., negating their imaginary parts but not their real parts). The conjugate transpose is formally defined by
where the subscripts denote the i,j-th entry, for 1 ≤ i ≤ n and 1 ≤ j ≤ m, and the overbar denotes a scalar complex conjugate. (The complex conjugate of a + bi, where a and b are reals, is a − bi.) This definition can also be written as
where denotes the transpose and denotes the matrix with complex conjugated entries. Other names for the conjugate transpose of a matrix are Hermitian conjugate, or transjugate. The conjugate transpose of a matrix A can be denoted by any of these symbols: or , commonly used in linear algebra (sometimes pronounced "A dagger"), universally used in quantum mechanics , although this symbol is more commonly used for the Moore-Penrose pseudoinverse In some contexts, denotes the matrix with complex conjugated entries, and thus the conjugate transpose is denoted by or . |
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| 27 Jan 2012 11:44 PM |
Tl;dr
also i just dont care. |
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| 27 Jan 2012 11:45 PM |
| is this a formula for toast? |
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| 27 Jan 2012 11:46 PM |
| no it harder math thne you will ever know! |
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wowzee
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| Joined: 02 Apr 2010 |
| Total Posts: 22692 |
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| 27 Jan 2012 11:47 PM |
i must think of the answer. i will play assassin's creed 3 for 4 hours to think. |
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| 15 Nov 2012 03:15 PM |
| the answer is go have fun for once -.- |
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1Blox23
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| Joined: 05 Nov 2011 |
| Total Posts: 370 |
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