How To Transpose A Matrix 11 Steps With Pictures

matrix A =1  2  34  5  67  8  9

transpose of matrix A = AT first column of AT:123

AT =1  4  72  5  83  6  9

matrix Z =4  7  2  13  9  8  6 matrix ZT =4  37  92  81  6

If matrix B is an m x n matrix (m rows and n columns), the transposed matrix BT is an n x m matrix (n rows and m columns). [6] X Research source For each element bxy (xth row, yth column) in B, the matrix BT has an equal element at byx (yth row, xth column).

If you can’t visualize this, draw a 4x4 matrix on a piece of paper. Now fold is over the main diagonal. See how elements a14 and a41 touch? They trade places in the transpose, as does each other pair that touches when folded.

Matrix C =2+i     3-2i0+i     5+0i

complex conjugate of C =2-i     3+2i0-i     5-0i

conjugate transpose of C = CH =2-i        0-i3+2i     5-0i