Free Grade 3 Introducing Matrix Multiplication Common Errors Worksheets
Free Grade 3 worksheets for Introducing Matrix Multiplication Common Errors: 12 real questions with a full answer key and worked solutions. A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
Free
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing matrix multiplication common errors
Identify introducing matrix multiplication common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing matrix multiplication common errors
Explain introducing matrix multiplication common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing matrix multiplication common errors
Calculate introducing matrix multiplication common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing matrix multiplication common errors
Compare introducing matrix multiplication common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Matrix Multiplication Common Errors works
A matrix is a grid of numbers. For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the determinant of [[-4, -3], [-2, 6]].[1]
- 2.Find the determinant of [[0, -2], [-4, 3]].[1]
- 3.Find the determinant of [[-2, 4], [-4, -4]].[1]
- 4.Find the determinant of [[-4, 0], [2, -3]].[1]
- 5.Find the determinant of [[6, 6], [5, 2]].[2]
- 6.Find the determinant of [[-1, -2], [-4, -3]].[2]
- 7.Find the determinant of [[0, -3], [0, 6]].[2]
- 8.Find the determinant of [[6, 0], [-4, 2]].[2]
- 9.Find the determinant of [[3, 6], [3, 5]].[3]
- 10.Find the determinant of [[6, 3], [2, 4]].[3]
- 11.Find the determinant of [[5, 1], [0, 6]].[3]
- 12.Find the determinant of [[2, 6], [5, 4]].[3]
Show answers and working
1. -30
det = ad − bc. -4 × 6 − -3 × -2 = -30.
2. -8
det = ad − bc. 0 × 3 − -2 × -4 = -8.
3. 24
det = ad − bc. -2 × -4 − 4 × -4 = 24.
4. 12
det = ad − bc. -4 × -3 − 0 × 2 = 12.
5. -18
det = ad − bc. 6 × 2 − 6 × 5 = -18.
6. -5
det = ad − bc. -1 × -3 − -2 × -4 = -5.
7. 0
det = ad − bc. 0 × 6 − -3 × 0 = 0.
8. 12
det = ad − bc. 6 × 2 − 0 × -4 = 12.
9. -3
det = ad − bc. 3 × 5 − 6 × 3 = -3.
10. 18
det = ad − bc. 6 × 4 − 3 × 2 = 18.
11. 30
det = ad − bc. 5 × 6 − 1 × 0 = 30.
12. -22
det = ad − bc. 2 × 4 − 6 × 5 = -22.
Worked examples
Find the determinant of [[-4, 3], [-1, 1]].
- det = ad − bc.
- -4 × 1 − 3 × -1 = -1.
- Answer: -1
Find the determinant of [[3, -2], [6, 3]].
- det = ad − bc.
- 3 × 3 − -2 × 6 = 21.
- Answer: 21
Find the determinant of [[5, 5], [3, 1]].
- det = ad − bc.
- 5 × 1 − 5 × 3 = -10.
- Answer: -10
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Calculates ab − cd.
Correction: Multiply the diagonals: ad − bc.
Gets signs wrong with negatives.
Correction: Bracket negatives before multiplying.
Teacher tips
- · Colour the two diagonals in different colours.
Parent tips
- · Point out spreadsheets as grids of numbers.
Real-life applications
- · Computer graphics, transformations.
Assessment objectives
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Frequently asked
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- What should a learner already know before this?
- Start with Introducing Matrix Multiplication Word Problems, Introducing Matrix Multiplication Techniques, Matrix Addition. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Matrix Multiplication Common Errors?
- Move on to Working with Matrix Multiplication, Matrix Multiplication in Context, which build directly on this idea.
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