Linear Algebra

I. Course Overview: MIT OCW – Prof. Gilbert Strang

Linear algebra: branch of mathematics studying for linear equation system and matrix

 

II. Course Objective:

A. Systems of linear equation

B. Row reduction and echelon form

C. Matrix operation, including inverse

D. Block matrix

E. Linear Dependence and Independence

F. Subspace and bases and dimension

G. Orthogonal bases and Orthogonal projections

H. Gram-Schmidt process

I. Linear model and Lease square problem

J. Determinant

K. Cramer’s Rule

L. Eigenvalue and Eigenvector

M. Diagonalization

O. Symmetric Matrix

P. Positive definite matrix

Q. Similar matrix

R. Linear transformation

S. Singular Value Decomposition(SVD)

 

III. Prerequisite:

A. 18.02 Multi Variable Calculus

 

IV. Text Book:

Strang, Gilbert. Introduction to Linear Algebra. 5th ed

 

V. Plan:

∗ MIT students spend 150 hours for course, more than half for class and assignment

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s