5 Pages • 410 Words • PDF • 405.9 KB

This document was submitted by our user and they confirm that they have the consent to share it. Assuming that you are writer or own the copyright of this document, report to us by using this DMCA report button.

Escola Técnica Estadual Ariano Vilar Suassuna CORREÇÃO ATIVIDADE DE MATEMÁTICA Prof. Jefferson Silva Costa

41) Calcule os seguintes determinantes:

a)

1 2 3 4

3.2=6

1.4=4

Logo, o determinante será: 4–6=-2

b)

2 9 3 7

9 . 3 = 27

2 . 7 = 14

Logo, o determinante será: 14 – 27 = - 13

c) -1 . 2 = -2

1 −1 2 2 1.2=2

Logo, o determinante será: 2–(-2)=2+2=4

d)

−2 4 0 −3

4.0=0

- 2 . (-3) = 6

Logo, o determinante será: 6–0=6

e)

1

1

2

3

3 4

1/3 . 3 = 1

½.4=2

Logo, o determinante será: 2–1=1 44) Calcule o valor de cada um dos determinantes:

Repetimos as duas primeiras colunas

1.2.1=2

3 a) 1 1

3 . 5 . (-1) = -15

2 2 −1 2.1.0 = 0

1 𝟑 5 𝟏 0 𝟏 3.2 .0 = 0

𝟐 𝟐 −𝟏

1 . 1 .(-1) = -1

2 . 5 . 1 = 10

Logo, o determinante será: 0 + 10 + (-1) – [2 + (-15) + 0] = 10 – 1 – [2 – 15] = 9 – [-13] = 9 + 13 = 22 Repetimos as duas primeiras colunas

1 −1 b) 5 7 2 . 7 . 1 = 14 1 0 1 . (-4) . 0 = 0

-1.5.1= -5

2 −4 1

𝟏 𝟓 𝟏

1 .7 .1 = 7

−𝟏 𝟕 𝟎 2.5.0=0 -1 . (-4) . 1 = 4

Logo, o determinante será: 7 + 4 + 0 – [14 + (-5) + 0] = 11 – [14 – 5] = 11 – [9] = 11 + 9 = 2

Repetimos as duas primeiras colunas

0 c) −4 −3 3 . 2 . (-3) = - 18 0.5.0=0

1 2 0

3 𝟎 5 −𝟒 −1 −𝟑

1.(-4).(-1) = 4

𝟏 𝟐 𝟎

0.2.(-1) = 0

3 .(-4) .0 = 0 1 . 5 . (-3) = -15

Logo, o determinante será: 0 + (-15) + 0 – [-18 + 0 + 4] = -15 – [-14] = -15 +14 = -1

Repetimos as duas primeiras colunas

4.3.0=0

1 d) 0 0

1.9.0=0

2 3 0

4 𝟏 9 𝟎 −5 𝟎

𝟐 𝟑 𝟎

2.0.(-5) = 0

1 . 3.(-5) = -15

4 . 0 .0 = 0 2.9.0=0

Logo, o determinante será: 0 + (-15) + 0 – [0 + 0 + 0] = -15 – 0 = -15

## Related documents

1 Pages • 180 Words • PDF • 70.5 KB

1 Pages • 28 Words • PDF • 68.4 KB

2 Pages • 174 Words • PDF • 169.1 KB

2 Pages • 821 Words • PDF • 466.2 KB

2 Pages • 301 Words • PDF • 81.5 KB

26 Pages • PDF • 20 MB

3 Pages • 239 Words • PDF • 76.5 KB

5 Pages • 410 Words • PDF • 405.9 KB

2 Pages • 327 Words • PDF • 119.4 KB

1 Pages • 64 Words • PDF • 170.9 KB

4 Pages • 1,069 Words • PDF • 113.5 KB

1 Pages • 180 Words • PDF • 10.3 KB