HangukQuant Research

HangukQuant Research

Share this post

HangukQuant Research
HangukQuant Research
Treatments for Vector Spaces, Spans, Bases and Projections - A First Course in Linear Algebra (II)
Copy link
Facebook
Email
Notes
More

Treatments for Vector Spaces, Spans, Bases and Projections - A First Course in Linear Algebra (II)

HangukQuant's avatar
HangukQuant
Apr 11, 2023
∙ Paid
6

Share this post

HangukQuant Research
HangukQuant Research
Treatments for Vector Spaces, Spans, Bases and Projections - A First Course in Linear Algebra (II)
Copy link
Facebook
Email
Notes
More
4
Share

Last week, we introduced linear algebraic treatments to linear system with focus on computational methods. The focus is on solving systems, determinants and invertibility.

HangukQuant’s Newsletter
Linear Systems, Vectors, Matrices and Their Determinants - A First Course in Linear Algebra (I)...and some secret announcements ...
Read more
2 years ago · 7 likes · 2 comments · HangukQuant

This week, we include further treatments to vector spaces, subspaces and linear spans/bases. We look at orthogonal/orthonormal sets, projections onto vector spaces, with applications in least-squares approximation and matrix factorization.

Within a few days, we will complete our treatment to linear systems in Euclidean spaces, covering diagonalizations of matrices and linear transformations. This will give us decent foothold over multivariate computations, from which we hope to leverage on to introduce discussions for portfolio management and multi-factor term structure models. We also release the formulaic alpha report in the days to come.

This linear algebra notes are available to all; the full market notes (476 pages) are available to paid readers only:

first course in linear algebra I + II
604KB ∙ PDF file
Download
Download
Full Notes Preview
396KB ∙ PDF file
Download
Download

This post is for paid subscribers

Already a paid subscriber? Sign in
© 2025 QUANTA GLOBAL PTE. LTD. 202328387H.
Privacy ∙ Terms ∙ Collection notice
Start writingGet the app
Substack is the home for great culture

Share

Copy link
Facebook
Email
Notes
More