how-to-find-eigenvalues-of-a-matrix

How to find the eigenvalues of a matrix?

We learn to you how to find the eigenvalues of a matrix as well as the associated eigenvectors. This notion...
hyperplane-linear-subspace

Hyperplane linear subspace

In this article, we define and give some exercises with answers on the hyperplane linear subspace. For instance, a hyperplane...
linear-transformations-and-matrices

Linear transformations and matrices

We introduce in a simple way the concept of linear transformations and matrices. there is a deep connection between a...
matrix-operations

Matrix Operations

One of the most important courses in linear algebra is matrix calculus.  We discuss matrix operations, mainly the multiplication of...
direct-sum-of-subspaces

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....
matrix-trace

Matrix trace worksheet

A matrix trace is a scaler attached to a matrix that gives quick insights into matrix regularities such as similarity...
vector-spaces-exercises

Vector spaces exercises

We provide vector spaces exercises with detailed answers. Such spaces are natural in mathematics in which we can manipulate computation...
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