Question

Sendo A=3 2 E B= -2 0
-1 5 4 -3

CALCULE A MATRIZ X,TAL QUE X+A-B=0

Answer 1

Resposta:

.

Explicação passo-a-passo:

$A = \left[\begin{array}{ccc}3&2\\-1&5\end{array}\right] \\\\B = \left[\begin{array}{ccc}-2&0\\4&-3\end{array}\right] \\\\X = \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \\\\X + A + B = 0_{2x2}\\\\\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]+\left[\begin{array}{ccc}3&2\\-1&5\end{array}\right] -\left[\begin{array}{ccc}-2&0\\4&-3\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] + \left[\begin{array}{ccc}5&2\\-5&8\end{array}\right] = \left[\begin{array}{ccc}0&0\\0&0\end{array}\right]\\\\\\a + 5 = 0\\a = -5\\\\b + 2 = 0\\b = -2\\\\c - 5 = 0\\c = 5\\\\d + 8 = 0\\d = -8\\\\X = \left[\begin{array}{ccc}-5&-2\\5&-8\end{array}\right]$

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