No. The rank-nullity theorem gives
(1)
but this guarantees infinitely many solutions only when the linear system is consistent. For a counterexample take
(2)
There is no solution, since the left side always vanishes.

Ancestors (13)

  1. iii
  2. b
  3. 2
  4. Mathematics I
  5. Prelims
  6. 2017
  7. Past exam of the mathematics course of the University of Oxford
  8. Mathematics course of the University of Oxford
  9. Undergraduate course of the University of Oxford
  10. Course of the University of Oxford
  11. University of Oxford
  12. List of universities
  13. Home

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version