Linear Algebra 2o2: Straight Talk - a Linear Combination Exercise

[abajabbajew]

This synthetic way of finding linear combinations is very pleasing.

[PyMoondra]

Wonderful job. Each video is slowly putting together fragmented pieces of knowledge.

[khuldoonusman]

The great thing is when I studied vectors in high school, we learned how to write the equation of a line r in vector form r = a + ßb where 'a' was the position vector of a point on the line and 'b' was a vector on the line and ß was a coefficient. This video just showed me why this form exists! Mind = Blown! Thank you Dr. Grinfeld.

[NIHIT]

great way of helping in building the intuition .One of the best videos on LA

[Mutiny]

Wow resolving it makes it y = mx+b so OF COURSE its a line. Now I really feel dumb Lol.

[pinazo]

The straight line that passes through "a" and "b" would only be where the coordinates of the points formed by the set of linear combinations that meet the requirement will be, correct? I cannot say that this line is the subspace of the (geometric) vectors that originate from this combination, since they only connect to the line through the ends of each vector originating from the linear combinations, correct? Or did I understand something wrong?

[tomobrien]

How do I get all of the course videos Is there a list somewhere?

[nimrod]

if one removes the origin could be call this an affine line?