principal diagonal (Meaning)
Wordnet
principal diagonal (n)
the diagonal of a square matrix running from the upper left entry to the lower right entry
Synonyms & Antonyms of principal diagonal
No Synonyms and anytonyms found
principal diagonal Sentence Examples
- In geometry, the principal diagonal of a square divides it into two congruent right triangles.
- The principal diagonal of a cube connects opposite vertices of the cube's rectangular faces.
- When studying matrices, the elements along the principal diagonal remain unchanged under matrix transposition.
- The principal diagonal of a parallelogram bisects it into two congruent triangles.
- The principal diagonal of a rectangle connects opposite corners of the rectangle.
- In linear algebra, the trace of a square matrix is the sum of the elements along its principal diagonal.
- The principal diagonal of a trapezoid does not necessarily divide it into congruent parts.
- When analyzing the symmetry of a figure, it's essential to consider the properties of its principal diagonal.
- The principal diagonal of a regular hexagon connects opposite vertices, passing through its center.
- The length of the principal diagonal of a rectangular prism can be calculated using the Pythagorean theorem.
FAQs About the word principal diagonal
the diagonal of a square matrix running from the upper left entry to the lower right entry
No synonyms found.
No antonyms found.
In geometry, the principal diagonal of a square divides it into two congruent right triangles.
The principal diagonal of a cube connects opposite vertices of the cube's rectangular faces.
When studying matrices, the elements along the principal diagonal remain unchanged under matrix transposition.
The principal diagonal of a parallelogram bisects it into two congruent triangles.