-
Machine Learning
Mathematics
Statistics
Graphics
Data Science
Machine Learning
TensorFlow
Example 1
Example 2
JS Graphics
History
Linear Algebra
Machine Learning experts cannot live without Linear Algebra
Vectors and Matrices
With ML, most things are done with vectors and matrices.
With vectors and matrices, you can Discover Secrets.
Scalars
In linear algebra, a scalar is a single number.
In JavaScript it can be written like a constant or a variable:
const myScalar = 1;
let x = 1;
var y = 1;
Vectors
In linear algebra, a vector is an array of numbers.
In JavaScript, it can be written as an array:
const myArray = [50,60,70,80,90,100,110,120,130,140,150];
myArray.length; // the length of myArray is 11
An array can have multiple dimensions, but a vector is a 1-dimensional array.
A vector can be written in many ways. The most common are:
| v = |
|
or:
| v = |
|
 |
The image to the left is a Vector. The Length shows the Magnitude. The Arrow shows the Direction. |
Matrices
In linear algebra, a matrix is a 2-dimensional array.
| C = |
|
In JavaScript, a matrix is an array with 2 indices (indexes).
Example
var myArray = [[1,2],[3,4],[5,6]];
Tensors
A Tensor is an N-dimensional Matrix.
| T = |
|
In JavaScript, a tensor is an array with multiple indices (indexes).
Linear Algebra is the branch of mathematics that concerns linear equations (and linear maps) and their representations in vector spaces and through matrices.
Linear algebra is central to almost all areas of mathematics.
Wikipedia