transpose

Purpose

Transposes a matrix, swapping rows and columns. For complex matrices, computes the conjugate transpose.

Format

y = x'

Parameters

param x:

Input matrix.

type x:

MxN matrix

Returns

return y:

Transposed matrix with rows and columns swapped.

rtype y:

NxM matrix

Examples

x = { 1 2 3,
      4 5 6 };
y = x';

y =    1.0000000    4.0000000
       2.0000000    5.0000000
       3.0000000    6.0000000

Vector Transpose

// Column to row vector
x = { 1, 2, 3 };
y = x';

y =    1.0000000    2.0000000    3.0000000

Inner Product

a = { 1, 2, 3 };
b = { 4, 5, 6 };
y = a' * b;

y =   32.0000000

Remarks

• For complex matrices, ' computes the conjugate transpose (Hermitian transpose).

• For non-conjugate transpose of complex matrices, use .' (bookkeeping transpose).

See also

Operators bookkeeping-transpose, Functions atranspose()