Hyperplane linear subspace
We will delve into the concept of a hyperplane linear subspace, explore its properties, and examine its applications in different domains.
Hyperplanes are essential concepts...
Linear transformations and matrices
Linear transformations and matrices form the backbone of numerous mathematical and scientific disciplines, ranging from computer graphics and machine learning to physics and engineering....
Matrix Operations
Matrix operations are mathematical operations performed on matrices, which are rectangular arrays of numbers. Matrices are widely used in various fields, including mathematics, physics,...
Direct sum of subspaces examples
The philosophy behind the direct sum of subspaces is the decomposition of vector spaces as a sum of disjoint spaces. In fact, this is...
Matrix trace worksheet
We will explore the matrix trace, its properties, and its significance in understanding the behavior of matrices. Although, matrices are powerful mathematical tools that...
Subgroup of a group
We study the properties of a subgroup of a group. We mention that group theory is an important part of algebra that classifies sets....
