Transpose vector or matrix
B = A.'B = transpose(A)
B = returns the nonconjugate transpose of A.'A, that is, interchanges the row and column index for each element. If A contains complex elements, then A.' does not affect the sign of the imaginary parts. For example, if A(3,2) is 1+2i and B = A.', then the element B(2,3) is also 1+2i.
B = transpose( is an alternate way to execute A)A.' and enables operator overloading for classes.
Create a matrix of real numbers and compute its transpose. B has the same elements as A, but the rows of B are the columns of A and the columns of B are the rows of A.
A = magic(4)
A = 4×4
16 2 3 13
5 11 10 8
9 7 6 12
4 14 15 1
B = A.'
B = 4×4
16 5 9 4
2 11 7 14
3 10 6 15
13 8 12 1
Create a matrix containing complex elements and compute its nonconjugate transpose. B contains the same elements as A, except the rows and columns are interchanged. The signs of the imaginary parts are unchanged.
A = [1 3 4-1i 2+2i; 0+1i 1-1i 5 6-1i]
A = 2×4 complex
1.0000 + 0.0000i 3.0000 + 0.0000i 4.0000 - 1.0000i 2.0000 + 2.0000i
0.0000 + 1.0000i 1.0000 - 1.0000i 5.0000 + 0.0000i 6.0000 - 1.0000i
B = A.'
B = 4×2 complex
1.0000 + 0.0000i 0.0000 + 1.0000i
3.0000 + 0.0000i 1.0000 - 1.0000i
4.0000 - 1.0000i 5.0000 + 0.0000i
2.0000 + 2.0000i 6.0000 - 1.0000i
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