Linear Lollapalooza

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Across
  1. 3. Amount u of in the direction of v
  2. 9. Reduced row _______ form
  3. 10. ________-Dimensional, No finite basis
  4. 11. one-to-one and onto
  5. 12. A is similar D
  6. 14. range(T) = W
  7. 15. Set of vectors in V mapped by T to 0
  8. 16. Spanning subspaces and being independent
  9. 18. A^T = A
  10. 20. Zero vector, Addition, Scalar Multiplication
  11. 22. Switch the rows and Columns
  12. 25. det(A - λI) = 0
  13. 26. oops! All the eigenvectors
  14. 27. Prof Corona
  15. 29. QR
  16. 30. {T(v): v in V}
  17. 31. (A - λI)x = 0
  18. 32. Theorem, A is symmetric if and only if A is orthogonally diagonalizable
Down
  1. 1. The absolute value of a dot product is less than or equal to the sum of two magnitudes
  2. 2. rank(T) + nullity(T)
  3. 4. The basis you get doing the Gram-Schmidt process
  4. 5. Matrix with diagonal 1s
  5. 6. n - Rank
  6. 7. Transformation, T(u+v) = T(u) + T(v) and T(cu) = cT(u)
  7. 8. Ax=0 only has the trivial solution
  8. 9. Interchange, Multiply, and Add
  9. 11. Product u^T*v = u•v
  10. 13. No vector can be written as a linear combination of another
  11. 17. 10 axions determine what these are
  12. 19. nonzero rows in REF
  13. 21. Elimination that uses RREF
  14. 23. Set of all linear combinations
  15. 24. ad - bc
  16. 28. The constants of a linear system equals 0