MAth

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