Proofs in LA

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Across
  1. 5. Any arbitrary output element can be met with some input
  2. 6. Count vectors in basis
  3. 7. The columns are the images of the standard basis vectors
  4. 9. Count pivots in RREF
  5. 11. Are 0 and u+cv an element still?
  6. 13. Show that the only vector sum that equals 0 has all zero coefficients
  7. 16. T(av+b) = aT(v)+T(b)?
  8. 17. Set vector sum to 0 and take its span
Down
  1. 1. Only T(0) = 0?
  2. 2. Find the kernel of a matrix - eigenvalues
  3. 3. Show if a list of eigenvectors is a basis
  4. 4. Diagonal of upper triangular matrix
  5. 8. Put identity matrix in the augmented column and move to other side
  6. 10. Coefficients for sum of vectors
  7. 12. List of columns that have pivots when in RREF
  8. 14. Count free variables in RREF
  9. 15. Show lin. indep. and that the vector space is in its span