result in linear algebra
C26953
concept
In linear algebra, a result is a proven statement or conclusion—such as a theorem, lemma, or corollary—that follows logically from definitions and previously established facts about vectors, matrices, and linear transformations.
Observed surface forms (6)
- determinant ×3
- matrix normal form ×3
- linear algebra concept ×1
- result in normed division algebras ×1
- theorem about eigenvalues ×1
- theorem in matrix theory ×1
Instances (19)
- Cauchy–Schwarz inequality
- Cauchy determinant
- Cauchy interlacing theorem
- Hadamard inequality
- Schmidt orthogonalization via concept surface "linear algebra concept"
-
Hermite
via concept surface "matrix normal form"
surface form: Hermite normal form
- Hermite normal form via concept surface "matrix normal form"
- Sylvester determinant via concept surface "determinant"
- Cayley–Hamilton theorem
- Birkhoff–von Neumann theorem via concept surface "theorem in matrix theory"
- Jacobian determinant via concept surface "determinant"
- Jacobi's theorem on determinants
- Hurwitz determinants via concept surface "determinant"
- Cauchy–Binet formula
- Weyl inequalities
- Courant–Fischer min–max theorem
- Poincaré separation theorem
- Smith normal form via concept surface "matrix normal form"
- Hurwitz theorem (composition algebras) via concept surface "result in normed division algebras"