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Perform numbers 1,5,8,10,11
Reduce the determinants to the most convenient form and calculate them

Here are the determinants for the selected matrices:

1. \( \Delta_1 = -101 \)
2. \( \Delta_5 = -528 \)
3. \( \Delta_8 = 600 \)
4. \( \Delta_{10} = 394 \)
5. \( \Delta_{11} = -72 \)

Let me know if you'd like further details on the steps used to calculate these determinants.

### Related Questions:
1. What are the properties of determinants and how do they affect matrix operations?
2. Can you show the row-reduction steps for calculating any of these determinants?
3. How does the determinant of a matrix relate to its invertibility?
4. What happens if you change one element of a matrix? How does it affect the determinant?
5. How do determinants apply to solving systems of linear equations?

**Tip**: Always check for any zero rows or columns in a matrix before calculating its determinant, as these can greatly simplify the process!

Perform numbers 1, 5, 8, 10, 11. Reduce the determinants to the most convenient form and calculate them.

This problem focuses on calculating determinants for matrices from a 2x2 to 4x4 format using row reduction and cofactor expansion methods. Suitable for advanced high school and college students studying Linear Algebra. Detailed solutions for matrices 1, 5, 8, 10, and 11 are provided, including key insights into matrix operations.

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