1 |
Orthogonal complements |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

2 |
dim(v) + dim(orthogonal complement of v) = n |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

3 |
Representing vectors in rn using subspace members |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

4 |
Orthogonal complement of the orthogonal complement |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

5 |
Orthogonal complement of the nullspace |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

6 |
Unique rowspace solution to Ax = b |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

7 |
Rowspace solution to Ax = b example |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

8 |
Projections onto subspaces |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

9 |
Visualizing a projection onto a plane |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

10 |
A projection onto a subspace is a linear transformation |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

11 |
Subspace projection matrix example |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

12 |
Another example of a projection matrix |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

13 |
Projection is closest vector in subspace |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

14 |
Least squares approximation |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

15 |
Least squares examples |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

16 |
Another least squares example |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

17 |
Coordinates with respect to a basis |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

18 |
Change of basis matrix |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

19 |
Invertible change of basis matrix |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

20 |
Transformation matrix with respect to a basis |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

21 |
Alternate basis transformation matrix example |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

22 |
Alternate basis transformation matrix example part 2 |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

23 |
Changing coordinate systems to help find a transformation matrix |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

24 |
Introduction to orthonormal bases |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |

25 |
Coordinates with respect to orthonormal bases |
Linear algebra (KA) |
Khan Academy |
Basic Sciences |