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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:

Using the properties of determinants, find the value of

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:

Consider the equation

Evaluate

Q14:

Consider the equation

Determine all the possible values of given that .

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

Q15:

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

  • A36
  • B
  • C
  • D4

Q16:

Consider the equation Given that , find its solution set.

  • A
  • B
  • C
  • D
  • E

Q17:

Find, without expanding, the value of the determinant