Linear Algebra

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Across
  1. 3. an array representing a linear transformation
  2. 7. The set that the range of a transformation lives in
  3. 9. the set of all vectors mapped to the zero vector by a transformation
  4. 10. a special function that maps any element to itself
  5. 12. A type of transformation that preserves homogeneity and vector addition
  6. 14. geometry of a two-dimensional vector space
  7. 17. logically equivalent to bijectivity for linear transformations
  8. 19. dimension of the kernel of a linear transformation
  9. 20. a collection of mathematical objects
  10. 21. an element of the base field of a vector space
  11. 22. a vector space can be described by a basis of length n if it is ...
Down
  1. 1. element of a vector space that can never be an eigenvector
  2. 2. a deductive argument for a mathematical statement
  3. 4. property of vector spaces
  4. 5. dimension of the range of a linear transformation
  5. 6. a vector space of eigenvectors with the same eigenvalue
  6. 8. an element of a vector space
  7. 11. a list of linearly independent vectors
  8. 13. an invariant of a linear transformation through a change of basis
  9. 15. the most basic base field
  10. 16. geometry of a one-dimensional vector space
  11. 18. the sum of the diagonal entries of a square matrix