If A = [51-4320], find (AT)T.

Exercise 2.2 | Q 5 | Page 46

QUESTION

If A = ${\displaystyle \left[\begin{array}{ccc}5& 1& -4\\ 3& 2& 0\end{array}\right]}$, find (A^T)^T.

SOLUTION

A = ${\displaystyle \left[\begin{array}{ccc}5& 1& -4\\ 3& 2& 0\end{array}\right]}$

∴ A^T = ${\displaystyle \left[\begin{array}{cc}5& 3\\ 1& 2\\ -4& 0\end{array}\right]}$

∴ (A^T)^T = ${\displaystyle \left[\begin{array}{ccc}5& 1& -4\\ 3& 2& 0\end{array}\right]}$ = A.