Question

O valor do determinante abaixo é:
a) 2
b) 4
c) 10
d) 12
e) 16

Answer 1

$\large \boxed{ \begin{array}{l} \begin{bmatrix} 3&5 \\ - 4&12\end{bmatrix} \\ \\ \rm{det = 3 \times 12 - 5 \times ( - 4) } \\ \rm{det = 36 + 20} \\ \rm{ det = \boxed{56}}\end{array}}$

Answer 2

$\left[\begin{array}{cc}\sf3&\sf5\\\sf-4&\sf12\end{array}\right]$

$\sf{det=\left|\begin{array}{cc}\sf3&\sf5\\\sf-4&\sf12\end{array}\right|}$

$\sf det=3\cdot12-5\cdot(-4)$

$\sf det=36+20$

$\boxed{\boxed{\sf det=56}}$