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Worksheet: Properties of Determinants
Q1:
Given that and , find a relation between and without expanding either determinant.
- A
- B
- C
- D
Q2:
Select the determinant that is equal to
- A
- B
- C
- D
- E
Q3:
Find, in its simplest form, an expression for the determinant
- A
- B
- C
- D
- E
Q4:
Select a factor of the determinant
- A
- B
- C
- D
Q5:
Consider the equation
Find, without expanding, the value of the determinant
Q6:
Put the determinant in upper triangular form, and find its value.
- A ,
- B ,
- C , 5β544
- D , 504
Q7:
Which of the following pairs of points does the straight line represented by the equation pass through?
- A ,
- B ,
- C ,
- D ,
Q8:
Use the properties of determinants to find
Q9:
Consider
Find the value of
Q10:
Find the value of .
Q11:
Find the value of
Q12:
Find, without expanding, the value of the determinant
Q13:
Consider the equation
Determine all the possible values of given that .
- A , , ,
- B , , ,
- C , , ,
- D , , ,
Q14:
Consider the equation
Evaluate
Q15:
Which of the following is equal to the determinant
- A
- B
- C
- D
Q16:
Without expanding, find the value of the determinant
Q17:
Using the properties of determinants, find the value of
Q18:
Evaluate
Q19:
Consider the equation Given that , find its solution set.
- A
- B
- C
- D
- E
Q20:
Using the properties of determinants, find the value of
Q21:
Use the properties of determinants to evaluate
Q22:
Use the properties of determinants to find the value of which makes a factor of the determinant
- A36
- B
- C
- D4
Q23:
Evaluate