2. Calcule os termos desconhecidos:
a) $(\begin{array}{cc} x & 3 \\ 5 & 2 y \end{array}) = (\begin{array}{cc} 6 & 3 \\ 5 & 8 \end{array})$

Answer

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Answer

$x = 6 and y = 4$

Steps

Step 1 ：Given the matrix equation: $(\begin{array}{cc} x & 3 \\ 5 & 2 y \end{array}) = (\begin{array}{cc} 6 & 3 \\ 5 & 8 \end{array})$

Step 2 ：Compare the corresponding elements of the two matrices to form equations:

Step 3 ： $x = 6$

Step 4 ： $2 y = 8$

Step 5 ：Solve the equations for x and y:

Step 6 ： $x = 6$

Step 7 ： $y = \frac{8}{2} = 4$

Step 8 ： $x = 6 and y = 4$