MAth

12345678910
Across
  1. 3. Which canonical form expresses any square matrix as a collection of Jordan blocks—even when the matrix is not diagonalizable?
  2. 6. Name the class of functions that are complex differentiable on an open domain, thus analytic throughout that region.
  3. 8. Which topological property, defined by the condition that every open cover has a finite subcover, plays a central role in many convergence arguments?
  4. 10. What is the term for the set of all vectors that a given linear transformation sends to the zero vector?
Down
  1. 1. What term describes a continuous bijection with a continuous inverse between topological spaces, demonstrating their topological equivalence?
  2. 2. 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?
  3. 4. What term describes a sequence whose elements eventually become arbitrarily close to one another—a necessary condition for convergence?
  4. 5. A subgroup invariant under conjugation by any group element.
  5. 7. The triangle that displays the binomial coefficients.
  6. 9. How many derangements are there for 4 objects?