Principal Diagonal (Noun)
Meaning
The diagonal of a square matrix running from the upper left entry to the lower right entry.
Classification
Nouns denoting groupings of people or objects.
Examples
- The principal diagonal of the matrix contained all the eigenvalues of the original matrix.
- To calculate the determinant of the matrix, we only considered the elements on the principal diagonal.
- In a square matrix, the principal diagonal runs from the top left corner to the bottom right corner.
- The sum of the elements on the principal diagonal of a matrix is called the trace of the matrix.
- In a diagonal matrix, all the elements outside the principal diagonal are zero.