# Course details

Linear Algebra and Probability: Fundamentals of Linear Algebra

### Linear Algebra and Probability: Fundamentals of Linear Algebra

Overview/Description
Expected Duration
Lesson Objectives
Course Number
Expertise Level

Overview/Description

Explore the fundamentals of linear algebra, including its characteristics and its role in machine learning. Examine important concepts associated with linear algebra like the class of spaces, types of vector space, vector norms, linear product vector and theorems, and the various operations that can be performed on matrix. How to implement vector arithmetic, vector scalar multiplication, and matrix arithmetic using Python is also covered.

Expected Duration (hours)
1.7

Lesson Objectives

Linear Algebra and Probability: Fundamentals of Linear Algebra

• discover the key concepts covered in this course
• identify the essential characteristics of linear algebra and its role in machine learning implementations
• list the important classes of spaces associated with linear algebra
• describe features of vector spaces and list the different types of vector spaces and their application in distribution and Fourier analysis
• describe the concept of inner product spaces and the various theorems that are applied on inner product spaces
• demonstrate how to implement vector arithmetic using Python
• demonstrate how to implement vector scalar multiplication using Python
• describe the concept and different types of vector norms
• implement matrix-matrix multiplication, matrix-vector multiplication, and matric-scalar multiplication using Python
• recognize operations that can be performed on matrix, such as matrix norms and matrix identities
• recognize how the trace, determinant, inverse, and transpose operations are applied on matrix
• describe matrix decomposition, using eigendecomposition, and the role of Eigenvectors and Eigenvalues
• describe the features of vector spaces, recall the different types of vector norms, and implement matrix-matrix multiplication, matrix-vector multiplication, and matric-scalar multiplication using Python
• Course Number:
it_mllapbdj_01_enus

Expertise Level
Intermediate