Question

Qual o determinante da matriz [-1 2 3 ] [ 0 1 4 ] [ 2 -3 5 ]

Answer 1

$D= \left[\begin{array}{ccccc}-1&2&3&-1&2\\0&1&4&0&1\\2&-3&5&2&-3\end{array}\right] \\ \\ \\ D=-5+16+0-(0+12+6) \\ \\ D=11-(+18) \\ \\ D=11-18 \\ \\ D=-7$

Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\left[\begin{array}{ccc}\sf-1&\sf2&\sf3\\\sf0&\sf1&\sf4\\\sf2&\sf-3&\sf5\end{array}\right]$

$\left[\begin{array}{ccc}\sf-1&\sf2&\sf3\\\sf0&\sf1&\sf4\\\sf2&\sf-3&\sf5\end{array}\right]\left|\begin{array}{cc}\sf-1&\sf2\\\sf0&\sf1\\\sf2&\sf-3\end{array}\right|$

$\mathsf{det= (-1\cdot1\cdot5+2\cdot4\cdot2+3\cdot0\cdot(-3))-(2\cdot0\cdot5+(-1)\cdot4\cdot(-3)+3\cdot1\cdot2)}$

$\mathsf{det= (-5+16+0)-(0+12+6)}$

$\mathsf{ det=(-5+16)-(0+12+6)}$

$\mathsf{ det=(-5+16)+(12+6)}$

$\mathsf{det=11-(12+6) }$

$\mathsf{det=11-18 }$

$\boxed{\boxed{ \mathsf{det=-7}} }$