Transpose and Conjugate Transpose Conjugate Transpose There is a second type of transposition that requires more work when the matrix elements are complex numbers. If Ae Cmxn is a matri>ⅸ，its conjugate transpose A(also sometimes denoted as A*)ECnxm is obtained by converting rows to columns, and in addition,taking the complex conjugates of the elements, a11 a21 aml AH= a12 a22 3m2 a1n a2n 3mn 奇电有这头 Matrix Theory Matrix Transposition and Related -4/30Transpose and Conjugate Transpose Conjugate Transpose There is a second type of transposition that requires more work when the matrix elements are complex numbers. If A ∈ C m×n is a matrix, its conjugate transpose A H ( also sometimes denoted as A ∗ ) ∈ C n×m is obtained by converting rows to columns, and in addition, taking the complex conjugates of the elements, A H = ⎛ ⎜ ⎜ ⎜ ⎝ a11 a21 . . . am1 a12 a22 . . . am2 ⋮ ⋮ ⋮ a1n a2n . . . amn ⎞ ⎟ ⎟ ⎟ ⎠ . Matrix Theory Matrix Transposition and Related - 4/30