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Matrices Operations Worksheet

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Matrices Operations Worksheet worksheet preview

Matrices Operations Worksheet

Matrix operations illustration

📊 Part 1: Matrix Addition and Subtraction

1. Calculate A + B where:

A = [2 -1] B = [3 5]

     [4 3]        [-2 1]

2. Find C - D where:

C = [7 0 -3] D = [2 -1 4]

     [1 5 2]          [0 3 -1]

3. Calculate 2A + 3B where:

A = [1 -2] B = [0 4]

     [3 1]        [2 -1]

4. If P = [5 -1 2] and Q = [3 0 -4], find P - Q.

           [0 3 -2]               [1 -2 5]

✖️ Part 2: Matrix Multiplication

5. Calculate AB where:

A = [2 1] B = [3]

     [0 -1]        [4]

6. Find CD where:

C = [1 2] D = [5 0]

     [3 -1]        [2 3]

7. Calculate EF where:

E = [2 -1 3] F = [1 4]

     [0 2 1]          [0 -2]

                                 [3 1]

8. Which of the following matrix multiplications are possible?

A₂ₓ₃ × B₃ₓ₁

C₂ₓ₂ × D₃ₓ₂

E₁ₓ₄ × F₄ₓ₃

G₃ₓ₂ × H₃ₓ₁

🎯 Part 3: Mixed Operations

9. Given A = [1 0] and B = [2 -1], calculate A² + 2B.

                   [2 3]             [1 0]

(Note: A² means A × A)

10. A company tracks sales data in matrix form. If January sales were:

J = [120 85 95] (representing three products)

     [200 150 110]

And February sales increased by the amounts shown in matrix:

I = [15 10 20]

     [25 30 15]

Calculate the February sales matrix and find the total sales for Product 1 over both months.

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