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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.
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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.
What is the definition of unitary matrix?
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 thatU*U = UU* = I. Where I is the identity matrix.
What is the identity matrix?
The identity matrix is a square one with ones (1s) down its main diagonal and zeroes (0s) elsewhere. That is, it must have the same number of rows as columns, and where the row number is the same as the column number, the entry must be 1, elsewhere, it must be 0.
22 matrix with 33 matrix multiplication?
It is not possible. The number of columns in the first matrix must be the same as the number of rows in the second. That is, matrices, X (kxl) and Y (mxn) can only be multiplied [in that order] if l = m.
What statement is true about unitary system of government is true?
Unitary governments are the most common.
