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  1. CH 4
  2.  
  3. Ax=b, kernel is x, b is range
  4. Kernel is null space is set of sols to Ax=0
  5.  
  6. Rm->Rn, ker is subspace of Rm and range is subspace of Rn
  7.  
  8. T is 1to1 iff ker is only zero vector, nullity is 0 if 1to1
  9.  
  10. If every row has pivot, cols of nxm span Rn and is onto, rank is n
  11.  
  12. Range is span of columns of A
  13.  
  14. Pivot cols in echelon form point to indep vecs in matrix
  15.  
  16. Unif theorem: every col is pivot col, unique solution to Ax=b, range is span of col vectors (e.g. Rn)
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