What is transpose in matrices?
Answer (1)
12th Jan, 2022
A matrix can be transposed by interchanging its rows into columns or its columns into rows. The letter "$T$" in the superscript of the matrix is used to denote the transpose of a matrix. $
\mathrm{A}=\left[\begin{array}{lll}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{array}\right] \Rightarrow \mathrm{A}^{T}=\left[\begin{array}{lll}
a_{11} & a_{21} & a_{31} \\
a_{12} & a_{22} & a_{32} \\
a_{13} & a_{23} & a_{33}
\end{array}\right]
$
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