Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Two-by-Two Determinants

In this lesson, we will learn how to find the value of a two-by-two determinant.

Sample Question Videos

01:56
01:38

Worksheet • 10 Questions • 2 Videos

Q1:

Find all the values of π‘₯ for which | | π‘₯ βˆ’ 2 βˆ’ 2 π‘₯ | | + | | 6 3 1 8 | | = 4 5 .

  • A2 or βˆ’ 2
  • B4 or βˆ’ 4
  • C4
  • D1
  • E1 or βˆ’ 1

Q2:

Find all the values of π‘₯ for which | | π‘₯ 8 8 π‘₯ | | + | | 6 βˆ’ 2 βˆ’ 8 4 | | = 8 8 .

  • A12 or βˆ’ 1 2
  • B144 or βˆ’ 1 4 4
  • C144
  • D100
  • E10 or βˆ’ 1 0

Q3:

Find the value of

  • A βˆ’ 7 𝑏 π‘₯ βˆ’ 3 5 π‘Ž 𝑦 βˆ’ 1 2 π‘Ž 𝑏
  • B βˆ’ 7 𝑏 π‘₯ βˆ’ 3 5 π‘Ž 𝑦 βˆ’ 2 π‘Ž 𝑏
  • C βˆ’ 7 𝑏 π‘₯ βˆ’ 3 5 π‘Ž 𝑦
  • D βˆ’ 7 𝑏 π‘₯ + 3 5 π‘Ž 𝑦 βˆ’ 2 π‘Ž 𝑏
  • E βˆ’ 7 𝑏 π‘₯ βˆ’ 1 2 π‘Ž 𝑏

Q4:

Solve

  • A βˆ’ 2 or βˆ’ 3
  • B βˆ’ 5 or βˆ’ 2
  • C2 or 3
  • D βˆ’ 1 or 3
  • E2 or 1

Q5:

Solve

  • A3 or βˆ’ 6
  • B3 or βˆ’ 4
  • C βˆ’ 3 or 6
  • D βˆ’ 1 or 6
  • E βˆ’ 3 or 1

Q6:

Find the value of the determinant | | | πœƒ πœƒ βˆ’ πœƒ πœƒ | | | c o t t a n c o t t a n .

Q7:

Solve

  • A π‘₯ = βˆ’ 4
  • B π‘₯ = 4 9
  • C π‘₯ = βˆ’ 2 0 9
  • D π‘₯ = 3 6

Q8:

Solve

  • A π‘₯ = βˆ’ 8
  • B π‘₯ = βˆ’ 9
  • C π‘₯ = 1 0
  • D π‘₯ = 6 0
  • E π‘₯ = βˆ’ 4 8

Q9:

Evaluate

Q10:

Find the value of | | | βˆ’ 3 π‘₯ + 3 4 π‘₯ + 4 βˆ’ 3 𝑦 + 4 βˆ’ 𝑦 + 3 | | | 2 2 .

  • A 3 π‘₯ 𝑦 βˆ’ 9 π‘₯ βˆ’ 3 𝑦 + 1 2 π‘₯ 𝑦 βˆ’ 1 6 π‘₯ + 1 2 𝑦 βˆ’ 7 2 2 2 2
  • B 1 5 π‘₯ 𝑦 βˆ’ 2 5 π‘₯ + 9 𝑦 + 1 2 π‘₯ 𝑦 βˆ’ 7 2 2 2
  • C 3 π‘₯ 𝑦 βˆ’ 2 5 π‘₯ + 9 𝑦 + 1 2 π‘₯ 𝑦 βˆ’ 7 2 2 2
  • D 3 π‘₯ 𝑦 βˆ’ 3 π‘₯ βˆ’ 𝑦 + 1 2 π‘₯ 𝑦 βˆ’ 4 π‘₯ + 3 𝑦 2 2 2 2
  • E 1 5 π‘₯ 𝑦 βˆ’ 9 π‘₯ βˆ’ 3 𝑦 βˆ’ 1 6 π‘₯ + 1 2 𝑦 βˆ’ 7 2 2 2
Preview

Related Lessons