Free Grade 3 Rules and Methods in Working with Matrix Multiplication Techniques Worksheets
Free Grade 3 worksheets for Rules and Methods in Working with Matrix Multiplication Techniques: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in working with matrix multiplication techniques
Explain rules and methods in working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in working with matrix multiplication techniques
Calculate rules and methods in working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in working with matrix multiplication techniques
Compare rules and methods in working with matrix multiplication techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in working with matrix multiplication techniques
Justify rules and methods in working with matrix multiplication techniques 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 Rules and Methods in Working with Matrix Multiplication Techniques 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 [[6, -4], [0, 4]].[1]
- 2.Find the determinant of [[4, 2], [0, 6]].[1]
- 3.Find the determinant of [[4, 4], [-4, -1]].[1]
- 4.Find the determinant of [[6, 6], [0, 2]].[1]
- 5.Find the determinant of [[-3, 2], [-4, 2]].[2]
- 6.Find the determinant of [[1, 6], [0, 6]].[2]
- 7.Find the determinant of [[2, -3], [-4, 4]].[2]
- 8.Find the determinant of [[-3, 6], [3, 0]].[2]
- 9.Find the determinant of [[-3, 0], [5, -1]].[3]
- 10.Find the determinant of [[4, 4], [-4, 2]].[3]
- 11.Find the determinant of [[2, 2], [3, -1]].[3]
- 12.Find the determinant of [[-2, 1], [-3, 3]].[3]
Show answers and working
1. 24
det = ad − bc. 6 × 4 − -4 × 0 = 24.
2. 24
det = ad − bc. 4 × 6 − 2 × 0 = 24.
3. 12
det = ad − bc. 4 × -1 − 4 × -4 = 12.
4. 12
det = ad − bc. 6 × 2 − 6 × 0 = 12.
5. 2
det = ad − bc. -3 × 2 − 2 × -4 = 2.
6. 6
det = ad − bc. 1 × 6 − 6 × 0 = 6.
7. -4
det = ad − bc. 2 × 4 − -3 × -4 = -4.
8. -18
det = ad − bc. -3 × 0 − 6 × 3 = -18.
9. 3
det = ad − bc. -3 × -1 − 0 × 5 = 3.
10. 24
det = ad − bc. 4 × 2 − 4 × -4 = 24.
11. -8
det = ad − bc. 2 × -1 − 2 × 3 = -8.
12. -3
det = ad − bc. -2 × 3 − 1 × -3 = -3.
Worked examples
Find the determinant of [[2, -2], [-3, 2]].
- det = ad − bc.
- 2 × 2 − -2 × -3 = -2.
- Answer: -2
Find the determinant of [[-2, 5], [-4, 2]].
- det = ad − bc.
- -2 × 2 − 5 × -4 = 16.
- Answer: 16
Find the determinant of [[1, -2], [5, 1]].
- det = ad − bc.
- 1 × 1 − -2 × 5 = 11.
- Answer: 11
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
How mastery is evidenced, and which standards it maps to.
Every free resource for Rules and Methods in Working with Matrix Multiplication Techniques
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Rules and Methods in Working with Matrix Multiplication Techniques worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Key Vocabulary of Working with Matrix Multiplication Techniques, Introduction to Working with Matrix Multiplication Techniques, Working with Matrix Multiplication Essentials. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Rules and Methods in Working with Matrix Multiplication Techniques?
- Move on to Working with Working with Matrix Multiplication Techniques, Working with Matrix Multiplication Techniques in Examinations, Working with Matrix Multiplication Essentials, Working with Matrix Multiplication Word Problems, which build directly on this idea.
Related resources
- Free Rules and Methods in Working with Matrix Multiplication Techniques quizzes
- Free Rules and Methods in Working with Matrix Multiplication Techniques flashcards
- Free Rules and Methods in Working with Matrix Multiplication Techniques lessons
- Free Rules and Methods in Working with Matrix Multiplication Techniques lesson plans
- Rules and Methods in Working with Matrix Multiplication Techniques in the knowledge graph
- Free AI Tutor
Stuck on Rules and Methods in Working with Matrix Multiplication Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor