Ganithapoorna 2025-26 Activity GanithaBandha

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