Maths 2.1Lesson outlineLesson 1 of 5 in Module 2
Vectors
See a row of data as a point and as an arrow, in any number of dimensions.
Video in production.
Learn
In this lesson8 parts
- 01The bold row
- 02A vector as a point and an arrow
- 03Three dimensions, then any number
- 04Row vectors, column vectors and NumPy shapes
- 05Checkpoint: vectors and their shapes
- 06The ward as a cloud of points
- 07Vectors and point clouds in NumPy
- 08Recap, challenge, and next: vector arithmetic and norms
Key terms
The words this lesson introduces, each in one line. The module’s glossary collects them all.
- origin
- the point
(0, 0)| where the axes cross - component
- one entry of a vector |
3in(3, 2) - vector
- an ordered list of numbers; drawn as a point or an arrow from the origin |
(3, 2) - dimension
- the number of components |
(3, 2, 4)is in three - row vector
- one row,
1 × d|u.reshape(1, -1) - column vector
- one column,
d × 1|u.reshape(-1, 1) - point cloud
- a table drawn as one point per row | the ward's 14 patients
- feature space
- one axis per feature | white-cell count against temperature
Quiz
Your first pick on each question is the one that counts, and a right one earns a coin. Getting one wrong here is how the lesson sticks.