BitWithBite
Mathematics Worksheet
🔢 Determinants
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Compute a 2×2 determinant.Use det = ad − bc.Relate the determinant to invertibility.Recognise singular matrices.📚 Quick Recap
The determinant is a single number calculated from a square matrix that reveals important properties, like whether the matrix can be inverted at all.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1det[[4,1],[2,3]] = ?
2det[[5,2],[3,1]] = ?
3det[[8,4],[2,1]] = ?
4A matrix with determinant 0 is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5For [[a,b],[c,d]], the determinant is .
6det[[4,1],[2,3]] = .
7Find the determinant of [[4,1],[2,3]].
8Find the determinant of [[5,2],[3,1]].
9Find the determinant of [[8,4],[2,1]].
🚀 Section C · Challenge ● CHALLENGE 5
10Is the matrix [[8,4],[2,1]] invertible?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-A 3-A 4-B | 5 ad − bc 6 10 7 = 10 8 = −1 9 = 0 | 10 = No, its determinant is 0