Machine Learning II 2018/19 spring

⊛ Scalar product and matrix algebra

Given by Sven Laur

• Pre-session exercises to the VI session
• Materials for the pre-session

Video Tutorial

Here is the set of videos to acquaint you with scalar product and matrix operations. Watch them in correct order.

Exercise 1

• Geometric Definition of Scalar Product
• Linearity of Scalar Product
• Consequences of Linearity of Scalar Product
• Now start by solving exercise 1 from the exercise sheet

Exercise 2

• Decomposition into Orthogonal Components in 2D
• Decomposition into Orthogonal Components in 3D
• Computing Volume of a Parallelogram (demo)
• Now start by solving exercise 2 from the exercise sheet

Exercise 3

• Scalar Products and Planes
• Finding Distance Between Plane and Point of Origin (demo)
• Now start by solving exercise 3 from the exercise sheet

Exercise 4

• Scalar Products and Coordinates
• Scalar Products and Coordinates (demo)
• Now start by solving exercise 4 from the exercise sheet

Exercise 5

• Generalised Scalar Product
• Generalised Scalar Product (demo)
• Now start by solving exercise 5 from the exercise sheet

Deadline: 7th of March 16:15 EET