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Worksheet: Operations on Determinants

Q1:

Find the value of

Q2:

Use the properties of determinants to evaluate

Q3:

Find the value of

Q4:

Evaluate

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

Q5:

Use the properties of determinants to evaluate

Q6:

Find the value of

Q7:

Find the value of

Q8:

Evaluate

Q9:

Find the value of

Q10:

Evaluate

Q11:

Find the value of

Q12:

Which of the following determinants has the same value as

  • 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 | |

Q13:

Evaluate

  • 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 | | | |

Q14:

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