Free Grade 3 Identity Matrix in Context Worksheets
Free Grade 3 worksheets for Identity Matrix in Context: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain identity matrix in context
Explain identity matrix in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate identity matrix in context
Calculate identity matrix in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare identity matrix in context
Compare identity matrix in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify identity matrix in context
Justify identity matrix in context 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 Identity Matrix in Context 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 [[-1, 2], [1, -3]].[1]
- 2.Find the determinant of [[4, 6], [-2, 5]].[1]
- 3.Find the determinant of [[-1, -1], [2, 0]].[1]
- 4.Find the determinant of [[4, 0], [-1, -4]].[1]
- 5.Find the determinant of [[-4, 2], [6, 4]].[2]
- 6.Find the determinant of [[5, -2], [4, -4]].[2]
- 7.Find the determinant of [[-4, -4], [4, 4]].[2]
- 8.Find the determinant of [[0, 3], [-2, -2]].[2]
- 9.Find the determinant of [[-1, -2], [-4, 0]].[3]
- 10.Find the determinant of [[-4, 5], [-1, 6]].[3]
- 11.Find the determinant of [[5, 2], [3, 2]].[3]
- 12.Find the determinant of [[3, -1], [-4, 3]].[3]
Show answers and working
1. 1
det = ad − bc. -1 × -3 − 2 × 1 = 1.
2. 32
det = ad − bc. 4 × 5 − 6 × -2 = 32.
3. 2
det = ad − bc. -1 × 0 − -1 × 2 = 2.
4. -16
det = ad − bc. 4 × -4 − 0 × -1 = -16.
5. -28
det = ad − bc. -4 × 4 − 2 × 6 = -28.
6. -12
det = ad − bc. 5 × -4 − -2 × 4 = -12.
7. 0
det = ad − bc. -4 × 4 − -4 × 4 = 0.
8. 6
det = ad − bc. 0 × -2 − 3 × -2 = 6.
9. -8
det = ad − bc. -1 × 0 − -2 × -4 = -8.
10. -19
det = ad − bc. -4 × 6 − 5 × -1 = -19.
11. 4
det = ad − bc. 5 × 2 − 2 × 3 = 4.
12. 5
det = ad − bc. 3 × 3 − -1 × -4 = 5.
Worked examples
Find the determinant of [[-2, 3], [-2, -2]].
- det = ad − bc.
- -2 × -2 − 3 × -2 = 10.
- Answer: 10
Find the determinant of [[5, 1], [5, -4]].
- det = ad − bc.
- 5 × -4 − 1 × 5 = -25.
- Answer: -25
Find the determinant of [[-3, 2], [6, 6]].
- det = ad − bc.
- -3 × 6 − 2 × 6 = -30.
- Answer: -30
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.
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Frequently asked
- Is this Grade 3 Identity Matrix in Context 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 Working with Identity Matrix, Introducing Identity Matrix, Matrix Multiplication. 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 Identity Matrix in Context?
- Move on to Matrix Addition, Matrix Multiplication, Determinants, Inverse Matrices, which build directly on this idea.
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