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Worksheet: Operations on Determinants

Q1:

Find the value of

Q2:

Find the value of

Q3:

Which of the following determinants has the same value as

  • A | | 3 5 1 8 | |
  • B | | 3 8 5 1 | |
  • C | | 𝑥 9 𝑥 + 7 𝑥 + 4 𝑥 5 | |
  • D | | 8 3 1 5 | |

Q4:

Evaluate

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

Q5:

Find the value of

Q6:

Use the properties of determinants to evaluate

Q7:

Evaluate

Q8:

Use the properties of determinants to evaluate

Q9:

Find the value of

Q10:

Evaluate

Q11:

Evaluate

  • A 2 𝑥 6 𝑦
  • B 6 𝑥 2 𝑦
  • C 2 𝑥 + 6 𝑦
  • D 6 𝑥 + 2 𝑦

Q12:

Find the value of

Q13:

Find the value of

Q14:

Evaluate | | | 4 𝜃 2 𝜃 8 𝜃 4 | | | × | | 4 2 5 1 0 | | . c o t c s c c s c 2