Find the transpose of each of the following matrices :
(i) $\left[ {\begin{array}{cccccccccccccccccccc}5\\{\cfrac{1}{2}}\\{ - 1}\end{array}} \right]$
(ii) $\left[ {\begin{array}{cccccccccccccccccccc}1&{ - 1}\\2&3\end{array}} \right]$
(iii) $\left[ {\begin{array}{cccccccccccccccccccc}{ - 1}&5&6\\{\sqrt 3 }&5&6\\2&3&{ - 1}\end{array}} \right]$
.:
(i) Transpose of $\left[ {\begin{array}{cccccccccccccccccccc}5\\{\cfrac{1}{2}}\\{ - 1}\end{array}} \right]$
%$= {\left[ {\begin{array}{cccccccccccccccccccc}5\\{\cfrac{1}{2}}\\{ - 1}\end{array}} \right]^{\prime}}$
$= \left[ {\begin{array}{cccccccccccccccccccc}5&{\cfrac{1}{2}}&{ - 1}\end{array}} \right]$
(ii) Transpose of $\left[ {\begin{array}{cccccccccccccccccccc}1&{ - 1}\\2&3\end{array}} \right]$
% $= {\left[ {\begin{array}{cccccccccccccccccccc}1&{ - 1}\\2&3\end{array}} \right]^{\prime}}$
$= \left[ {\begin{array}{cccccccccccccccccccc}1&2\\{ - 1}&3\end{array}} \right]$
(iii) Transpose of $\left[ {\begin{array}{cccccccccccccccccccc}{ - 1}&5&6\\{\sqrt 3 }&5&6\\2&3&{ - 1}\end{array}} \right]$
% $= {\left[ {\begin{array}{cccccccccccccccccccc}{ - 1}&5&6\\{\sqrt 3 }&5&6\\2&3&{ - 1}\end{array}} \right]^{\prime}}$
$= \left[ {\begin{array}{cccccccccccccccccccc}{ - 1}&{\sqrt 3 }&2\\5&5&3\\6&6&{ - 1}\end{array}} \right]$
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