Addition of Matrices Worksheets – Learn Matrix Addition Fun & Fast
Bellow are several worksheets on Addition of Matrices, each followed by their respective answers. Write the resulting matrix in the space provided.
Worksheets of Addition of Matrices
Worksheet 2×2 matrix addition
1. Matrix A=
| 3 6 |
| 2 5 |
Matrix B=
| 1 4 |
| 7 2 |
Resulting Matrix (A + B):
2. Matrix A=
| 8 2 |
| 5 9 |
Matrix B=
| 3 1 |
| 6 7 |
Resulting Matrix (A + B)=
3. Matrix A=
| -1 0 |
| 4 2 |
Matrix B:
| 2 -3 |
| 7 1 |
Resulting Matrix (A + B)=
4.Matrix A=
| -2 5 |
| 3 0 |
Matrix B:
| 4 -1 |
| 7 2 |
Resulting Matrix (A + B)=
5. Matrix A=
| 2 6 |
| 1 -4 |
Matrix B=
| -3 -2 |
| 0 5 |
Resulting Matrix (A + B)=
6. Matrix A=
| 10 -2 |
| -7 3 |
Matrix B:
| -1 4 |
| 6 0 |
Resulting Matrix (A + B)=
Answers:
1. Resulting Matrix (A + B)=
| 4 10 |
| 9 7 |
2. Resulting Matrix (A + B)=
| 11 3 |
| 11 16 |
3. Resulting Matrix (A + B)=
| 1 -3 |
| 11 3 |
4. Resulting Matrix (A + B)=
| 2 4 |
| 10 2 |
5 . Resulting Matrix (A + B)=
| -1 4 |
| 1 1 |
6. Resulting Matrix (A + B)=
| 9 2 |
| -1 3 |
Worksheet Addition of 3×3 Matrices
1.Matrix A=
| 2 4 1 |
| 6 3 5 |
| 7 2 9 |
Matrix B:
| 1 5 3 |
| 2 8 4 |
| 0 3 6 |
2.Matrix X=
| 9 2 4 |
| 7 1 8 |
| 5 3 6 |
Matrix Y:
| 1 0 2 |
| 3 4 6 |
| 5 7 9 |
3.Matrix P=
| 0 1 2 |
| 3 4 5 |
| 6 7 8 |
Matrix Q=
| 8 7 6 |
| 5 4 3 |
| 2 1 0 |
Answers:
1.Matrix A + Matrix B=
| 3 9 4 |
| 8 11 9 |
| 7 5 15 |
2.Matrix X + Matrix Y=
| 10 2 6 |
| 10 5 14 |
| 10 10 15 |
3.Matrix P + Matrix Q:
| 8 8 8 |
| 8 8 8 |
| 8 8 8 |
Addition of 4×4 Matrices
1.Matrix A=
| 2 3 1 5 |
| 4 0 6 2 |
| 1 7 9 8 |
| 5 4 2 1 |
Matrix B=
| 9 6 3 0 |
| 1 8 2 7 |
| 4 5 2 6 |
| 3 0 9 4 |
2.Matrix X=
| 5 4 7 9 |
| 6 1 3 8 |
| 2 0 5 4 |
| 7 8 6 2 |
Matrix Y=
| 1 3 2 4 |
| 8 6 0 5 |
| 9 7 1 3 |
| 2 4 5 9 |
Answers:
1.Matrix A + Matrix B=
| 11 9 4 5 |
| 5 8 8 9 |
| 5 12 11 14 |
| 8 4 11 5 |
2.Matrix X + Matrix Y=
| 6 7 9 13 |
| 14 7 3 13 |
| 11 7 6 7 |
| 9 12 11 11 |
Addition of 5×5 Matrices
1.Matrix A=
| 1 4 5 2 8 |
| 7 3 6 0 9 |
| 2 8 4 6 1 |
| 9 1 3 7 5 |
| 5 2 0 4 8 |
Matrix B=
| 3 6 9 1 7 |
| 5 2 4 8 3 |
| 8 1 0 5 6 |
| 2 7 3 6 4 |
| 4 9 6 2 1 |
2.Matrix X=
| 0 4 7 2 9 |
| 6 8 1 5 3 |
| 3 2 5 7 4 |
| 9 1 2 4 6 |
| 2 8 0 3 1 |
Matrix Y=
| 7 3 8 1 5 |
| 1 9 4 6 2 |
| 4 6 0 3 7 |
| 5 2 1 8 3 |
| 3 0 5 9 4 |
Answers:
1.Matrix A + Matrix B=
| 4 10 14 3 15 |
| 12 5 10 8 12 |
| 10 9 4 11 7 |
| 11 8 6 13 9 |
| 9 11 6 6 9 |
2.Matrix X + Matrix Y=
| 7 7 15 3 14 |
| 7 17 5 11 5 |
| 7 8 5 10 11 |
| 14 3 3 12 9 |
| 5 8 5 12 5 |
Addition of 6×6 Matrices
1.Matrix A=
| 3 5 2 6 9 1 |
| 8 4 6 1 2 7 |
| 0 9 1 5 3 4 |
| 2 7 8 4 6 0 |
| 5 1 4 9 2 3 |
| 6 3 0 7 8 2 |
Matrix B=
| 1 9 2 4 7 3 |
| 5 3 7 0 1 6 |
| 3 8 1 6 4 2 |
| 7 6 9 5 3 1 |
| 4 2 5 8 1 0 |
| 9 0 3 6 5 4 |
2.Matrix X=
| 2 7 4 8 3 0 |
| 6 2 4 9 1 5 |
| 1 8 5 7 2 3 |
| 4 6 7 3 5 1 |
| 3 0 2 5 4 1 |
| 7 1 6 4 9 2 |
Matrix Y=
| 5 3 8 1 7 2 |
| 9 5 0 4 3 8 |
| 4 7 2 9 6 1 |
| 8 4 5 2 0 7 |
| 1 6 3 7 2 9 |
| 0 9 1 3 8 5 |
Answers:
1.Matrix A + Matrix B=
| 4 14 4 10 16 4 |
| 13 7 13 1 3 13|
| 3 17 2 11 7 6 |
| 9 13 17 9 9 1 |
| 9 3 9 17 3 3 |
| 15 3 3 13 13 6 |
2.Matrix X + Matrix Y=
| 7 10 12 9 10 2 |
| 15 7 4 13 4 13|
| 5 15 7 16 8 4 |
| 12 10 12 5 5 8 |
| 4 6 5 12 6 10|
| 7 10 7 7 17 7 |
Artful Addition of Matrices Worksheet
Get ready to unleash your creativity while mastering the addition of matrices! This worksheet combines the world of art with math, allowing you to create stunning visual representations while practicing your matrix addition skills.
Materials Needed
- Pencil
- Eraser
- Colored pencils or markers
- Graph paper (optional)
Instructions
Understanding Matrix Addition
Before you dive into the artistic part, make sure you understand how to add matrices. Remember, you can only add matrices that have the same dimensions (same number of rows and columns).
Setting the Scene
Choose a theme for your artwork. It could be anything: a landscape, a cityscape, an underwater scene, or even an abstract design.
Creating Your Matrices
Designate two regions on your paper as the matrices. Label each matrix with its dimensions (e.g., 2×2 or 3×3) at the top.
Matrix Elements as Art Elements
Assign an art element (like colors or shapes) to each matrix element. For example, let “blue” represent the number 2, “green” represent 0, and so on.
Adding Matrices Artistically
Start adding the matrices visually. Color or shade each matrix element according to the assigned art elements.
Match corresponding matrix elements for addition. For instance, if you’re adding matrix A and matrix B, color the resulting matrix element with the art element that corresponds to the sum of the respective elements in A and B.
Creating Your Masterpiece
Continue this process until you’ve added all corresponding elements and completed your visual representation.
Reflecting on Your Art
Take a moment to admire your matrix masterpiece. Think about how each matrix element contributes to the overall art piece.
Verifying Your Work
To ensure accuracy, you can verify your results by performing the actual addition of matrices using numbers.
Worksheet Challenges
Beginner Level:
- Work with 2×2 matrices for simpler practice.
- Choose a basic theme for your artwork, such as a sunset or a flower garden.
Intermediate Level:
- Use 3×3 matrices to add complexity to your practice.
- Select a more intricate theme, like a city skyline or a coral reef.
Advanced Level:
- Experiment with larger matrices for an extra challenge.
- Combine multiple matrices to create a collaborative art piece.
This worksheet allows you to not only improve your matrix addition skills but also explore the creative side of math. As you complete each artwork, you’ll gain confidence in adding matrices and discover the beauty of math art .
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