Matrix Trace Calculator
Quickly compute the trace of any square matrix. Just input your matrix, and we'll handle the rest!
Enter Your Square Matrix
Input the values for your square matrix. Add or remove rows/columns as needed.
Trace of the Matrix:
Visualizing Diagonal Elements
Diagonal elements contributing to the trace are highlighted.
What is Matrix Trace?
In linear algebra, the trace of a square matrix is the sum of the elements on the main diagonal (from the upper left to the lower right).
For a square matrix $$A$$, the trace $$Tr(A)$$ is calculated as:
$$ Tr(A) = \sum_{i=1}^{n} a_{ii} $$
Where $$a_{ii}$$ are the diagonal elements of the matrix $$A$$.
The trace is only defined for square matrices. It has various applications in linear algebra, statistics, and other areas of mathematics.
Example
For the matrix:
| 1 | 2 | 3 |
| 4 | 5 | 6 |
| 7 | 8 | 9 |
The trace is 1 + 5 + 9 = 15.