Question

Calcule o determinante da matriz ?

Answer 1

R.: det (A ) = - 3.

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MANDEI.

Answer 2

Resposta:

$\left[\begin{array}{ccc}{1}&{0}&{2}\\{ - 1}&{3}&{4}\\{ - 2}&{ - 1}&{ - 7}\end{array}\right] = \sf{ - 3}$

Explicação passo-a-passo:

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

$\sf{a = }\left[\begin{array}{ccc}{1}&{0}&{2}\\{ - 1}&{3}&{4}\\{ - 2}&{ - 1}&{ - 7}\end{array}\right] \Longrightarrow\left[\begin{array}{ccc}{1}&{0}&{2}\\{ - 1}&{3}&{4}\\{ - 2}&{ - 1}&{ - 7}\end{array}\right] \begin{array}{ccc}{1}&{0}\\{ - 1}&{3}\\{ - 2}&{ - 1}\end{array} \\ \\ \sf{1 \times 3 \times ( - 7) = \boxed{ - 21}} \\ \sf{0 \times 4 \times ( - 2) =\boxed{0} } \\ \sf{2 \times ( - 1) \times ( - 1) =\boxed{2} } \\ \sf{2 \times 3 \times ( - 2) = \boxed{12}} \\ \sf{1 \times 4 \times ( - 1) = \boxed{4}} \\ \sf{0 \times ( - 1) \times ( - 7) = \boxed{0}} \\ \\ \sf{ - 21 + 0 + 2 + 12 + 4 + 0} \\ \sf{ - 21 + 2 + 12 + 4 + 0} \\ \sf{ - 19 + 12 +4 + 0} \\ \sf{ - 7 + 4 + 0} \\ \sf{ - 3 + 0} \\ \red{ \boxed{ \green{ \boxed{ \pink{ \boxed{ \sf{ - 3}} }} } } }$

$\mathcal{ATT : ARMANDO}$