Taking the conjugate transpose (or adjoint) of complex matrices generalizes complex conjugation. Matrix transpose and conjugate do not alter singular values. Since formula 102 is a rotation matrix its inverse is its transpose. The conjugate formula 126 corresponds to the transpose of the matrix. Suppose we want to calculate the conjugate transpose of the following matrix formula 1. However, the normal needs to be transformed by the inverse transpose. SINEs cannot transpose by themselves because they cannot encode SINE transcripts. In this representation, the conjugate of a quaternion corresponds to the transpose of the matrix. The rules allow one to transpose propositional variables within logical expressions in logical proofs. Here formula 16 denotes the conjugate transpose of formula 4. Since a matrix is similar to its own transpose, they must have the same eigenvalues. LINEs bind to sites flanking SVA elements to transpose them. The involution is given by the conjugate transpose. The star symbol is a conjugate transpose. Note that this gives the definition of adjoint in terms of a transpose.