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Worksheet: Solving by Using Properties of Determinants

Q1:

Find the value of

Q2:

Find the value of .

Q3:

Using the properties of determinants, find the value of

Q4:

Use the properties of determinants to evaluate

Q5:

Without expanding, find the value of the determinant

Q6:

Using the properties of determinants, find the value of .

Q7:

Use the properties of determinants to evaluate

Q8:

Find the value of using properties of determinants.

Q9:

Evaluate

Q10:

Evaluate

Q11:

Which of the following is equal to the determinant

  • A
  • B
  • C
  • D

Q12:

Find the solution set of

  • A
  • B
  • C
  • D
  • E

Q13:

Write the determinant as a sum of two determinants, where the value of one of them is zero.

  • A
  • B
  • C
  • D

Q14:

Given that , evaluate .

Q15:

Use properties of determinants to find the value of .

  • A
  • B
  • C
  • D
  • E

Q16:

Given that and , determine all possible values of .

  • A, , ,
  • B, , ,
  • C, , ,
  • D, , ,

Q17:

Use the properties of determinants to find the value of which makes a factor of the determinant

  • A
  • B4
  • C36
  • D

Q18:

Given that , find the solution set of .

  • A
  • B
  • C
  • D
  • E

Q19:

Find the value of without expanding the determinant.