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

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  • 01:46
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Worksheet: 10 Questions • 6 Videos

Q1:

Find all the values of 𝑥 for which | | 𝑥 − 2 − 2 𝑥 | | + | | 6 3 1 8 | | = 4 5 .

Q2:

Solve | | 𝑥 5 4 − 9 | | = 1 6 .

Q3:

Solve | | 𝑥 2 − 5 𝑥 | | − | | − 5 2 3 𝑥 | | = 1 0 .

Q4:

Find the value of | | | 𝑎 + 𝑥 5 𝑎 𝑏 + 7 𝑦 − 7 𝑏 | | | .

Q5:

Find the value of the determinant | | | 𝜃 𝜃 − 𝜃 𝜃 | | | c o t t a n c o t t a n .

Q6:

Find the value of | | | − 3 𝑥 + 3 4 𝑥 + 4 − 3 𝑦 + 4 − 𝑦 + 3 | | | .

Q7:

Evaluate | | | − 4 8 𝜃 − 𝜃 2 𝜃 | | | . s e c s e c t a n

Q8:

Find all the values of 𝑥 for which | | 𝑥 − 5 − 5 𝑥 | | + | | 1 − 2 4 8 | | = 4 0 .

Q9:

Solve | | 𝑥 3 − 4 𝑥 | | + | | 6 2 − 4 𝑥 | | = 1 2 .

Q10:

Solve | | 𝑥 3 1 0 − 5 | | = − 4 0 .

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