OurBigBook About$ Donate
 Sign in Sign up

Definite matrix

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Algebra Linear algebra Matrices
 1 By others on same topic  0 Discussions Create my own version
In linear algebra, a definite matrix refers to a square matrix that has specific properties related to the positivity of its quadratic forms. The terminology typically includes several definitions: 1. **Positive Definite Matrix**: A symmetric matrix \( A \) is called positive definite if for all non-zero vectors \( x \), the following holds: \[ x^T A x > 0. \] This implies that all eigenvalues of the matrix are positive.

 Ancestors (6)

  1. Matrices
  2. Linear algebra
  3. Algebra
  4. Fields of mathematics
  5. Mathematics
  6.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Definite matrix by Ciro Santilli 37 Updated 2025-07-16
 View more
The definition implies that this is also a symmetric matrix.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook