Maths Crossword Puzzle

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Across
  1. 2. Determinant used to check linear independence of solutions
  2. 4. Vector operator representing rotation of a vector field
  3. 6. Series expansion of a function about a point
  4. 8. Determinant of partial derivatives in coordinate transformation
  5. 9. Vector of partial derivatives pointing in steepest ascent
  6. 10. Dimension of column space of a matrix
  7. 11. Measure of outward flux density of a vector field
  8. 13. Integral transform used to solve differential equations
Down
  1. 1. Vectors whose dot product equals zero
  2. 3. Direction of steepest increase of a scalar field
  3. 5. Series representation using sine and cosine
  4. 7. Transform widely used in signal processing
  5. 12. Scalar associated with a matrix transformation