# Lesson Worksheet: Two-by-Two Determinants Mathematics

In this worksheet, we will practice identifying determinants and evaluating 2x2 determinants.

Q1:

Find all the values of for which .

• A2 or
• B1 or
• C1
• D4 or
• E4

Q2:

Solve

• A
• B
• C
• D

Q3:

Solve

• A2 or 3
• B or
• C2 or 1
• D or
• E or 3

Q4:

Expand

• A
• B
• C
• D
• E

Q5:

Find the value of the determinant .

Q6:

Find the value of .

• A
• B
• C
• D
• E

Q7:

Evaluate

Q8:

Find all the values of for which .

• A7 or
• B8 or
• C64
• D49 or
• E49

Q9:

Solve

• A4 or 2
• B or
• C4 or 1
• D or
• E or 2

Q10:

Solve

• A
• B
• C
• D
• E

Q11:

Find the value of the determinant

• A
• B
• C
• D
• E

Q12:

Find the value of which satisfies .

• A1
• B
• C
• D

Q13:

Evaluate

Q14:

Find the value of

Q15:

Find the determinant of the matrix .

Q16:

Evaluate .

Q17:

Find the determinant of the following matrix.

Q18:

Find the value of

Q19:

Given that the determinant of the matrix is zero, what is in terms of ?

• A
• B
• C
• D
• E

Q20:

Which of the following is equal to

• A
• B
• C
• D
• E

Q21:

Find the determinant of the matrix .

Q22:

Solve the equation given that .

Q23:

Find all the possible values of :

• A
• B
• C
• D
• E

Q24:

Solve for

• A
• B
• C
• D

Q25:

Solve for :

• A, , or
• B, or
• C, , , or
• D, , , or
• E, , , or