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

  1. In geometry, the principal diagonal of a square divides it into two congruent right triangles.
  2. The principal diagonal of a cube connects opposite vertices of the cube's rectangular faces.
  3. When studying matrices, the elements along the principal diagonal remain unchanged under matrix transposition.
  4. The principal diagonal of a parallelogram bisects it into two congruent triangles.
  5. The principal diagonal of a rectangle connects opposite corners of the rectangle.
  6. In linear algebra, the trace of a square matrix is the sum of the elements along its principal diagonal.
  7. The principal diagonal of a trapezoid does not necessarily divide it into congruent parts.
  8. When analyzing the symmetry of a figure, it's essential to consider the properties of its principal diagonal.
  9. The principal diagonal of a regular hexagon connects opposite vertices, passing through its center.
  10. 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.