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On the following terms could you please give my an English text description - in your own words. Thanks.

1. Algorithm:
2. Searching algorithm:
3. Greedy algorithm:
4. Composite:
5. Prime:
6. Relatively prime integers:
7. Matrix:
8. Matrix addition:
9. Symmetric:
10. Fundamental Theorem of Arithmetic:
11. Euclidean Algorithm:
12. Chinese Remainder Theorem:

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