Reducing the augmented matrix gives
(1)
There is no contradictory row. Hence the system is consistent, with affine solution space
(2)
The three planes intersect in this common line. Their normals span a two-dimensional row space, leaving a one-dimensional common direction, the null space. More explicitly, five times the first equation minus eleven times the second plus twice the third is the zero equation, including the right-hand side; the third plane therefore contains the intersection of the first two.

Ancestors (11)

  1. 4
  2. Digital systems, linear algebra, introduction to formal proof
  3. 2018
  4. Past exam of the year 1 of the computer science course of the University of Oxford
  5. Year 1 of the computer science course of the University of Oxford
  6. Computer science course of the University of Oxford
  7. Undergraduate course of the University of Oxford
  8. Course of the University of Oxford
  9. University of Oxford
  10. List of universities
  11. 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