Traço matriz 3×3
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The 3x3 Matrix Trace Calculator is an online tool that calculates the trace of a 3x3 square matrix. The trace of a matrix is defined as the sum of the elements on the main diagonal, which are the elements that run from the top left to the bottom right of the matrix.
This calculator works based on the formula for the trace of a matrix, which is simply the sum of the elements on the main diagonal. For example, given a 3x3 matrix with elements a, b, c, d, e, f, g, h, i, the trace is calculated as a + e + i.
The trace of a matrix is an important property in linear algebra and is used in various applications, such as solving systems of linear equations and analyzing matrix properties. It's especially useful when working with large matrices and quickly calculating the trace.
When using this calculator, it's essential to be careful with data entry, ensuring the matrix is square and elements are entered correctly. Additionally, it's crucial to understand the concept of matrix trace and its applications in different contexts.
Frequently asked questions
What is the trace of a matrix?
The trace of a matrix is the sum of the elements on the main diagonal.
How does the matrix trace calculator work?
The calculator sums the elements on the main diagonal of the matrix.
What is the trace of a matrix used for?
It's used in linear algebra to solve systems of equations and analyze matrix properties.
What precautions should I take when using the calculator?
Check if the matrix is square and if elements were entered correctly.
Does the calculator work with matrices larger than 3x3?
No, this calculator is specific to 3x3 matrices.