To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the same, less the [coefficient of the] middle term, being divided by twice the [coefficient of the] square is the value.
Notes: draw few lines, planes, curves, explain the notion of flatness
(I will get to the geometric view soon)
(sorry for sneaking this in)
matrix
vector
vector
matrix
vector
vector
matrix
vector
vector
scalar
(why? we will see soon)
(why? we will see soon)
(will show up when we learn about this transformation)
(will show up while solving these equations)
matrix
vector
Note: draw a few vectors in 2d and 3d, talk about magnitude and direction
Notes: - show how it spans a plane, - 2d - 2 vectors, v, 1.5v, 2v, then -v, -1.5v, -2v, then scale u also - 2d - show a case when it will not span the space - 3d - 3 vectors, show case when it will not span the space