Across
- 4. How many derangements are there for 4 objects?
- 5. A subgroup invariant under conjugation by any group element.
- 6. Which topological property, defined by the condition that every open cover has a finite subcover, plays a central role in many convergence arguments?
- 7. What is the term for the set of all vectors that a given linear transformation sends to the zero vector?
- 8. What term describes a sequence whose elements eventually become arbitrarily close to one another—a necessary condition for convergence?
- 9. Which canonical form expresses any square matrix as a collection of Jordan blocks—even when the matrix is not diagonalizable?
- 11. A finite group with no proper nontrivial normal subgroups
Down
- 1. Let A be a square matrix and x be a nonzero vector satisfying Ax=λx. What is the term for the scalar λ that scales x when A is applied?
- 2. What term describes a continuous bijection with a continuous inverse between topological spaces, demonstrating their topological equivalence?
- 3. The triangle that displays the binomial coefficients.
- 10. Name the class of functions that are complex differentiable on an open domain, thus analytic throughout that region.