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Nas matrizes abaixo calcube o determisonte:
A) [8]

B) 3 4
1 2

C) 2 -3 4
5 6 8
1 3 7

D) 4 -3
1 4​


Sagot :

Resposta:

A) 8

B) 2

C) 153

D) 19

Explicação passo a passo:

[tex]A)\ [8]\\\\\bold{8}[/tex]

[tex]B)\ \left[\begin{array}{cc}3&4\\1&2\end{array}\right] \\\\\\3\times2-4\times1\\\\6-4\\\\\bold{2}[/tex]

[tex]C)\ \left[\begin{array}{ccc}2&-3&4\\5&6&8\\1&3&7\end{array}\right] \\\\\\2\times6\times7+(-3)\times8\times1+4\times5\times3-1\times6\times4-3\times8\times2-7\times5\times(-3)\\\\84+(-24)+60-24-48-(-105)\\\\84-24+60-24-48+105\\\\60+36+57\\\\96+57\\\\\bold{153}[/tex]

[tex]D)\ \left[\begin{array}{cc}4&-3\\1&4\end{array}\right] \\\\\\4\times4-(-3)\times1\\\\16+3\\\\\bold{19}[/tex]