Across
- 1. – The set of all linear combinations for a given set of vectors.
- 5. – The dimension of the kernel of a linear transformation.
- 6. – A square matrix A where A=A
- 7. – A sequence that approaches a finite, specific limit.
- 9. – A series that fails to approach a finite limit.
- 11. – The least upper bound of a set.
- 13. – An arrangement of objects where the order of selection is vital.
- 18. – A method of proving statements.
- 19. – A logical 'AND' operation .
- 22. – A group where the operation is commutative
- 23. – The set of domain elements that map to the codomain's identity.
- 24. – A point where a function's derivative is zero or undefined.
- 25. – Logical symbols like forall or there exists .
- 26. – A group generated by a single element.
- 27. – An integer greater than one with only two distinct positive divisors.
- 28. – Euler's function counting integers up to n relatively prime to n.
- 29. – The dimension of the image of a linear transformation.
Down
- 2. – A self-evident truth serving as a foundation for proofs.
- 3. – A relation meaning n divides a-b.
- 4. – Calculating the area under a curve via infinitesimal summation.
- 8. – A statement that is always true in every possible interpretation.
- 10. – A scalar lambda such that Av=lambda v.
- 12. – Part of a principle used to count the union of overlapping sets.
- 14. – A selection of objects where order does not matter.
- 15. – A mapping between structures that preserves algebraic operations.
- 16. – A square matrix with a determinant of zero (non-invertible).
- 17. – Principle stating n items in m containers n>m leads to overlap.
- 18. – A point where a curve's second derivative changes sign.
- 20. – A sequence where terms grow arbitrarily close to each other.
- 21. – The sum of the main diagonal elements of a square matrix.