Question

Dada a matriz, o seu determinante vale:
| 3 2 1 |
| 1 0 0 |
| 4 1 1 |

a)-1

b)2

c)1

d)0

e)3

Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\left[ \begin{array}{ccc}\sf3&\sf2&\sf1\\\sf1&\sf0&\sf0\\\sf4&\sf1&\sf1\end{array} \right]$

$\sf det= \left|\begin{array}{ccc}\sf3&\sf2&\sf1\\\sf1&\sf0&\sf0\\\sf4&\sf1&\sf1\end{array} \right|\left|\begin{array}{cc}\sf3&\sf2\\\sf1&\sf0\\\sf4&\sf1\end{array}\right|$

$\mathsf{det= [0+0+1]-[ 2+0+0] }$

$\mathsf{det= [0+1]-[2+0] }$

$\mathsf{ det=[1]-[2]}$

$\boxed{\boxed{ \mathsf{ det=-1}}} \leftarrow\textsf{letra A}$