Parameterized solution of linear system. (Lecture 3, Slide 7).
(Audio part 1, 6:00)

Solution of linear system is not vector space; it is translation of null space.
(Audio part 1, 7:30 and 29:00)

Augmented matrix and solution from Lecture 3, Slide 7.
(Audio part 1, 15:00)

Solution of linear system is translation of null space continued.
(Audio part 1, 30:30)

Example of column space.
(Audio part 1, 36:00)

Example of column space continued.
Example of rank.
(Audio part 2, 0:00)

Example of row space.
Dimensions of row and column spaces are equal.
(Audio part 2, 4:30)

Conditions on solvability of linear system.
(Audio part 2, 23:00, 28:00, and 30:00)

Proof of conditions on solvability of linear system.
(Audio part 2, 27:00 and 28:30)
