Mathematics, 15.01.2020 05:31 nelsoneligwe7
If a is nonsingular, then (at )-1 =(a-1) t . (a) verify this theorem for 2 × 2 matrices
Answers: 3
![\left[\begin{array}{cc}a&b\\c&d\end{array}\right]](/tpl/images/0455/5859/5e39f.png)
![A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]](/tpl/images/0455/5859/c3440.png)
![(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]](/tpl/images/0455/5859/536fc.png)
![A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]](/tpl/images/0455/5859/e1442.png)
![(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]](/tpl/images/0455/5859/a4240.png)
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If a is nonsingular, then (at )-1 =(a-1) t . (a) verify this theorem for 2 × 2 matrices...
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