0
It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:
A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means that
U*U = UU* = I. Where I is the identity matrix.
Add your answer:
Earn +20 pts
Why only complex numbers are used in unitary matrix?
It looks like that's part of the definition of a unitary matrix. See related link, below.
Why must the CKM matrix be unitary?
Unitary matrices leave the expectation value unchanged. We need the mixing matrix to be unitary (to preserve the mixed quarks as a basis, to preserve length); if VCKM were not unitary, it would perhaps suggest that a fourth generation of quarks needed to be considered or included.
What is payroll matrix?
can anyone give me an exact definition of payroll matrix................
What is the definition of identity matrix?
Identity or Unit Matrix If in the scaler matrix the value of k=1, the matrix is called the identity or unit matrix. It is denoted by I or U.
What is the definition of Uper-triangular matrix?
Uper-triangular Matrix A square matrix A whose elements aij=0 for i>j is called upper triangular matrix.
Why only complex numbers are used in unitary matrix?
It looks like that's part of the definition of a unitary matrix. See related link, below.
Why must the CKM matrix be unitary?
Unitary matrices leave the expectation value unchanged. We need the mixing matrix to be unitary (to preserve the mixed quarks as a basis, to preserve length); if VCKM were not unitary, it would perhaps suggest that a fourth generation of quarks needed to be considered or included.
What is a Cabibbo-Kobayashi-Maskawa matrix?
A Cabibbo-Kobayashi-Maskawa matrix is a unitary matrix which specifies the mismatch of quantum states of quarks when they propagate freely and when they take part in the weak interactions.
Is every unitary matrix hermitian?
Absolutely not. They are rather quite different: hermitian matrices usually change the norm of vector while unitary ones do not (you can convince yourself by taking the spectral decomposition: eigenvalues of unitary operators are phase factors while an hermitian matrix has real numbers as eigenvalues so they modify the norm of vectors). So unitary matrices are good "maps" whiule hermitian ones are not. If you think about it a little bit you will be able to demonstrate the following: for every Hilbert space except C^2 a unitary matrix cannot be hermitian and vice versa. For the particular case H=C^2 this is not true (e.g. Pauli matrices are hermitian and unitary).
What is the definition of involtary matrix?
Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.
What is the possible determinant of unitary matrix?
|Det(U)| = 1 so that Det(U) = ±1
What is the definition of a null matrix?
The null matrix is also called the zero matrix. It is a matrix with 0 in all its entries.
Is South Africa unitary state?
Depends on your definition. We have a central government and then provincial governments for each of the nine provinces.
What is payroll matrix?
can anyone give me an exact definition of payroll matrix................
What is the definition of zero matrix?
Zero Matrix When all elements of a matrix are zero than the matrix is called zero matrix. Example: A=|0 0 0|
What is the definition of identity matrix?
Identity or Unit Matrix If in the scaler matrix the value of k=1, the matrix is called the identity or unit matrix. It is denoted by I or U.
Definition of Lower-triangular matrix?
Lower-triangular Matrix A square matrix A whose elements aij=0 for i
