Linear algebra Introduction
Vectors
Describe an observation with an ordered list of numbers.
Before this
No earlier lesson needed. Start here.
The intuition
A vector groups quantities that belong together. A point on a map can be represented by two coordinates; a house can be represented by its area and number of rooms.
A concrete example
[80, 3] might describe an 80-square-metre home with 3 rooms. Adding [10, 1] gives [90, 4]. Each position keeps the same meaning.
What to remember
Order and units matter. Swapping the entries changes what the vector describes.
Check your understanding
What is [2, 5] + [3, 1]?
Reveal explanation
[5, 6]: add corresponding entries.