Question

Calcule o determinante da matriz A: *
​

Answer 1

det$\bf{_A}$= 1

Explicação passo a passo:

$\Large\boxed{\begin{array}{l} \sf{A = \begin{bmatrix} \sf{a _{11 }}& \sf{a_{12} } \\ \sf{a_{21} }& \sf{a_{22} }\end{bmatrix}}\rightarrow \sf{det_{A} = a_{11} \times a_{22} - a_{12} \times a_{21}}\end{array}}$

Calcule o determinante da matriz A:

$\Large\boxed{\begin{array}{l} \Large\boxed{\begin{array}{l} \rm \: A = \begin{pmatrix}5&1 \\ 9&2\end{pmatrix}\end{array}}\end{array}}$

Cálculos:

$\Large\boxed{\begin{array}{l} \Large\boxed{\begin{array}{l} \rm \: det_A = 5 \times 2 - 1 \times 9 \\ \\ \rm \: det_A = 10 - 9 \\ \\ \boxed{ \boxed{ \rm{det_A = 1}}} \checkmark\end{array}}\end{array}}$