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Find the transpose of each of the following matrices :$ (i) \begin{bmatrix} 5 \\ \tfrac{1}{2} \\ -1 \end{bmatrix}$

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  • If A =$[a_{ij}]$ be an matrix,then the matrix obtained by interchanging the rows and column of A is called the transpose of A.
  • Transpose of the matrix A is denoted by A' or $A^T.$
Given the matrix $\begin{bmatrix}5\\\frac{1}{2}\\-1\end{bmatrix}$.
To get the transpose of the Matrix $A'$, we need to interchange the rows into column to get the transpose.
$A'=\begin{bmatrix}5 & \frac{1}{2} &-1\end{bmatrix}$
answered Mar 1, 2013 by balaji.thirumalai

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