Penjumlahan Dan Pengurangan Matriks - Matematika Tingkat Lanjut SMA Kelas XI Kurikulum Merdeka
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16 days ago
Published on Sep 04, 2024
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Table of Contents
Introduction
This tutorial will guide you through the addition and subtraction of matrices, a fundamental concept in advanced mathematics for high school students. Understanding how to perform these operations is essential for further studies in algebra and calculus.
Step 1: Understanding Matrix Order
- The order of a matrix refers to its dimensions, represented as rows x columns.
- Two matrices can only be added or subtracted if they have the same order.
- For example, a 2x3 matrix (2 rows, 3 columns) can only be added or subtracted from another 2x3 matrix.
Step 2: Adding Two Matrices
To add two matrices:
- Ensure both matrices have the same order.
- Identify each corresponding element in the matrices.
- Add the corresponding elements together.
Example: Given matrices A and B:
A = | 1 2 3 |
| 4 5 6 |
B = | 7 8 9 |
| 1 2 3 |
The sum of A and B is:
A + B = | (1+7) (2+8) (3+9) |
| (4+1) (5+2) (6+3) |
A + B = | 8 10 12 |
| 5 7 9 |
Step 3: Subtracting Two Matrices
To subtract one matrix from another:
- Confirm that both matrices have the same order.
- Identify each corresponding element in the matrices.
- Subtract the elements of the second matrix from the first.
Example: Using the same matrices A and B:
A - B = | (1-7) (2-8) (3-9) |
| (4-1) (5-2) (6-3) |
A - B = | -6 -6 -6 |
| 3 3 3 |
Step 4: Practical Tips
- Always check the order of the matrices before attempting to add or subtract.
- Write down the matrices clearly to avoid confusion when adding or subtracting elements.
- Practice with different matrix sizes to build confidence.
Conclusion
Adding and subtracting matrices is a straightforward process once you understand the order requirement and how to manipulate the elements. Practice with various examples to master these operations, and consider exploring related topics such as matrix multiplication and determinants for further learning.