Question

Dadas as matrizes M = (3 5 ) e N = ( 4 0)
(1 -3) obtenha X tal que X • M = N

Answer 1

Resposta:

X=$\left[\begin{array}{c}\frac{12}{14} \\\\\frac{20}{14} \end{array}\right]$

Explicação passo-a-passo:

X    *   M

1x2    2x2

sendo a matriz X no formato $\left[\begin{array}{cc}x&y\end{array}\right]$

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&5\\1&-3\end{array}\right]$

linha1*coluna 1  linha 1 *coluna2

3x+y=4

5x-3y=0

isolando o y

y=4-3x

5x-3(4-3x)=0

5x-12+9x = 0

14x=12

x=12/14

12*3/14 +y= 4

y=56/14-36/14

y=20/14