Matemática, perguntado por caiicrocha8, 1 ano atrás

seja a matriz a3 = (aij), na qual aij = -1 se i = j 1 se i > j 0 se i < j então A - At + l3 vale?

Soluções para a tarefa

Respondido por RyanDuarte56
2

 A=\left[\begin{array}{ccc}-1&amp;0&amp;0\\1&amp;-1&amp;0\\1&amp;1&amp;-1\end{array}\right]\\<br />At=\left[\begin{array}{ccc}-1&amp;1&amp;1\\0&amp;-1&amp;1\\0&amp;0&amp;-1\end{array}\right]\\<br />I3=\left[\begin{array}{ccc}1&amp;0&amp;0\\0&amp;1&amp;0\\0&amp;0&amp;1\end{array}\right]\\\\\\<br />A-At=\left[\begin{array}{ccc}-1&amp;0&amp;0\\1&amp;-1&amp;0\\1&amp;1&amp;-1\end{array}\right]-\left[\begin{array}{ccc}-1&amp;1&amp;1\\0&amp;-1&amp;1\\0&amp;0&amp;-1\end{array}\right]=\left[\begin{array}{ccc}0&amp;-1&amp;-1\\1&amp;0&amp;-1\\1&amp;1&amp;0\end{array}\right]\\<br />(A-At)+I3=\left[\begin{array}{ccc}0&amp;-1&amp;-1\\1&amp;0&amp;-1\\1&amp;1&amp;0\end{array}\right]+\left[\begin{array}{ccc}1&amp;0&amp;0\\0&amp;1&amp;0\\0&amp;0&amp;1\end{array}\right]=\left[\begin{array}{ccc}1&amp;-1&amp;-1\\1&amp;1&amp;-1\\1&amp;1&amp;1\end{array}\right]

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