Linear Algebra

Hoffman, K., & Kunze, R. (1971). Linear Algebra. Prentice-Hall.

Type

Book

Intellectual base

Textbook

Year

1971

Pages cited

6-7

ISBN

9780135367971

Link

https://openlibrary.org/isbn/9780135367971

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Canonical Form
  • In linear algebra it is Jordan normal form, row-reduced echelon form, Smith normal form, and rational canonical form, each giving a unique representative so that an equivalence — similarity, shared row space — reduces to identity of representatives.

    This sourceStandard text establishing Jordan, rational, and reduced row-echelon canonical forms and the uniqueness theorem for RREF (§1.4).

Domain-specific

• Frobenius normal form
  • The entry fixes the invariant-factor Frobenius form over a field; unrelated Frobenius forms for differential equations, algebras, and nonnegative matrices remain outside scope.
• Normal operator
  • Normality is weaker than self-adjointness or unitarity, boundedness is assumed in the standard definition and unbounded normal operators require explicit domains and closedness.

Verification

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