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Atividade: Operações em Determinantes

Q1:

Determine o valor de

Q2:

Utilize as propriedades dos determinantes para calcular

Q3:

Calcule | | | 3 6 π‘₯ 5 𝑦 βˆ’ 6 𝑦 π‘₯ | | | + | | | 1 3 𝑦 βˆ’ 6 𝑦 4 π‘₯ βˆ’ 2 𝑦 | | | | | | βˆ’ 1 βˆ’ 𝑦 2 βˆ’ 6 π‘₯ | | | .

  • A βˆ’ 2 π‘₯ βˆ’ 6 𝑦
  • B 6 π‘₯ βˆ’ 2 𝑦
  • C βˆ’ 2 π‘₯ + 6 𝑦
  • D 6 π‘₯ + 2 𝑦

Q4:

Use as propriedades dos determinantes para calcular | | | | 1 5 1 8 βˆ’ 1 2 6 βˆ’ 1 1 0 1 6 | | | | + | | | | 1 5 1 8 1 1 βˆ’ 9 βˆ’ 4 1 0 1 6 | | | | + | | | | βˆ’ 7 1 8 βˆ’ 4 βˆ’ 3 βˆ’ 5 βˆ’ 4 1 6 | | | | .

Q5:

Determine o valor de

Q6:

Determine o valor de

Q7:

Calcule

Q8:

Determine o valor de | | 3 6 π‘₯ π‘₯ βˆ’ 2 | | βˆ’ | | βˆ’ 3 π‘₯ βˆ’ 6 4 2 π‘₯ | | .

Q9:

Calcule | | | | 5 βˆ’ 3 βˆ’ 5 9 βˆ’ 2 βˆ’ 8 βˆ’ 3 7 3 | | | | Γ— | | βˆ’ 2 βˆ’ 3 4 2 | | .

Q10:

Determine o valor de | | | | βˆ’ 6 8 βˆ’ 7 βˆ’ 1 2 1 βˆ’ 6 4 2 | | | | + | | | | βˆ’ 3 5 0 1 βˆ’ 7 1 5 4 4 | | | | .

Q11:

Qual dos seguintes determinantes tem o mesmo valor de | | βˆ’ π‘₯ βˆ’ 5 4 π‘₯ | | + | | βˆ’ 9 π‘₯ βˆ’ π‘₯ 7 | | ?

  • A | | βˆ’ 3 βˆ’ 5 βˆ’ 1 8 | |
  • B | | βˆ’ 3 8 βˆ’ 5 βˆ’ 1 | |
  • C | | βˆ’ π‘₯ βˆ’ 9 π‘₯ + 7 βˆ’ π‘₯ + 4 π‘₯ βˆ’ 5 | |
  • D | | 8 βˆ’ 3 βˆ’ 1 βˆ’ 5 | |

Q12:

Calcule

  • A | | | | 1 0 βˆ’ 2 7 βˆ’ 9 1 1 1 1 1 1 | | | |
  • B | | | | 1 5 6 βˆ’ 6 6 5 βˆ’ 1 6 βˆ’ 4 βˆ’ 1 6 5 | | | |
  • C | | | | 1 1 2 βˆ’ 4 3 βˆ’ 6 βˆ’ 8 6 1 0 βˆ’ 8 | | | |
  • D | | | | 9 βˆ’ 6 βˆ’ 4 βˆ’ 3 1 4 βˆ’ 1 5 8 βˆ’ 1 4 βˆ’ 3 | | | |

Q13:

Calcule | | | 4 πœƒ βˆ’ 2 πœƒ 8 πœƒ βˆ’ 4 | | | Γ— | | 4 βˆ’ 2 5 βˆ’ 1 0 | | . c o t g c o s s e c c o s s e c 2