^{T}is obtained from A by changing its rows into columns and its columns into rows.

The first row of A is the first column of A

^{T}.

Properties of Transpose

1. (A

^{T})

^{T}= A

2. (A+B)

^{T}= A

^{T}+B

^{T}( A and B must have the same order)

3. (kA)

^{T}= kA

^{T}., (k is any scalar)

4. (AB)

^{T}= B

^{T}A

^{T}

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