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Year 11 Matrix Operations

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Year 11 Matrix Operations worksheet preview

Year 11 Matrix Operations

Matrix operations illustration

📚 Part 1: Matrix Addition and Subtraction

1. Calculate the following matrix addition:

A + B where A = [2 -1; 3 4] and B = [1 5; -2 3]

2. Find the result of the matrix subtraction:

C - D where C = [7 2; -1 6] and D = [3 -4; 2 1]

3. Which of the following matrix operations is possible?

Adding a 2×3 matrix to a 3×2 matrix

Adding a 2×2 matrix to a 2×2 matrix

Subtracting a 3×1 matrix from a 1×3 matrix

Adding a 2×3 matrix to a 2×4 matrix

4. Calculate: [5 -3; 2 1] + [-1 7; 4 -2] - [2 1; -3 5]

🔢 Part 2: Matrix Multiplication

5. Calculate the matrix multiplication AB where:

A = [2 1; 3 -1] and B = [4; 2]

6. Find the product PQ where:

P = [1 -2 3] and Q = [2; 1; -1]

7. Which matrix multiplication is NOT possible?

(2×3) × (3×1)

(3×2) × (2×4)

(2×2) × (3×2)

(1×4) × (4×1)

8. Calculate the matrix product:

[1 2; 0 -1] × [3 1; 2 4]

🎯 Part 3: Mixed Operations

9. A company has two stores with inventory matrices for Week 1 and Week 2:

Week 1: [45 30; 25 60] (Store A: laptops, tablets; Store B: laptops, tablets)

Week 2: [50 35; 20 55]

Calculate the total inventory over both weeks.

10. Given matrices X = [2 -1; 3 4] and Y = [1 0; -2 3], calculate:

a) X + Y = _______________

b) X - Y = _______________

c) XY = _______________

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