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Lesson 15 of 20 · about 16 min

Change of basis

Manhattan's street grid is tilted about 29° from true north, so "walk uptown" and "walk north" are different instructions. The same arrow can be described in different bases, and the same transformation too. You'll translate coordinates between a slanted grid and the usual one, then hunt for the special basis in which a matrix becomes as simple as possible.

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In this lesson you'll learn:

  • Coordinates in a basis
  • Same map, new basis

Free to try in F08 Linear Algebra:

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