Question

Calcule o determinante da matriz A3×3
[123]
[256]
[258]

Answer 1

Resposta:

determinante é igual a 2

Explicação passo-a-passo:

1×5×8+2×6×2+3×2×5

-3×5×2-1×6×5-2×2×8=0.

40+24+30-30-30-32=

64-62

2. determinante=2

Answer 2

Resposta:

$\left[\begin{array}{ccc}{1}&{2}&{3}\\{2}&{5}&{6}\\{2}&{5}&{8}\end{array}\right] = 2$

Explicação passo-a-passo:

$\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} } \: \: \mathsf {OI, TUDO \: \: J\acute{O}IA \: ? \: \:\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} } }$

$\left[\begin{array}{ccc}{1}&{2}&{3}\\{2}&{5}&{6}\\{2}&{5}&{8}\end{array}\right] \Longrightarrow\left[\begin{array}{ccc}{1}&{2}&{3}\\{2}&{5}&{6}\\{2}&{5}&{8}\end{array}\right] \begin{array}{ccc}{1}&{2}\\{2}&{5}\\{2}&{5}\end{array} \\ \\ \sf{1 \times 5 \times 8 = \boxed{40}} \\ \sf{2 \times 6 \times 2 = \boxed{24}} \\ \sf{3 \times 2 \times 5 =\boxed{30} } \\ \sf{3 \times 5 \times 2 =\boxed{ - 30} } \\ \sf{1 \times 6 \times 5 =\boxed{ - 30} } \\ \sf{2 \times 2 \times 8 =\boxed{ - 32} } \\ \\ \sf{40 + 24 + 30 - 30 - 30 - 32} \\ \sf{40 + 24\cancel{\blue { + 30}}\cancel{\blue { - 30}} - 30 - 32} \\ \sf{40 + 24 - 30 - 32} \\ \sf{64 - 30 - 32} \\ \sf{34 - 32} \\ \red{ \boxed{ \green{ \boxed{ \pink{ \boxed{ \sf{2}} }} } } }$

$\mathcal{ATT : ARMANDO}$