Question

Calcule o determinante de ordem 3:
C= |4 0 3|
|-1 2 3|
|2 1 1 |
a) 5
b) -19
c) 13
d) 36​

Answer 1

Oieee

Bom,

__________

| 4 0 3 |4 0|

|-1 2 3 |-1 2|

| 2 1 1 |2 1|

_

Det = a¹¹.a²².a³³+ a¹².a²³a³¹ + a¹³a²¹.a³² – a³¹.a²².a¹³ – a³².a²³.a¹¹ – a³³.a²¹.a¹²

4 × 2 × 1 = 8

0 × 3 × 2 = 0

3 × -1 × 1 = -3

_

0 × -1 × 1 = 0

4 × 3 × 1 = 12

3 × 2 × 2 = 12

_

Det = 8 + (-3) + ( 12 - 12 )

Det = 8 - 3 + 0

Det = 5

Alternativa A

____________________

Qualquer dúvida me avise

A$$: MarcosPCV