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!