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defective matrices

defective matrices is the plural of defective matrix.

Meaning of defective matrix

Noun

defective matrix (plural defective matrices)

  1. A square (n×n) matrix that has fewer than n linearly independent eigenvectors, and is therefore not diagonalisable.
    • An n x n matrix A is a defective matrix if it has a defective eigenvalue.
      Obviously, a Jordan block of dimension greater than 1, and a matrix whose Jordan canonical form has a Jordan block of dimension greater than 1, are defective matrices.1994, Sigal Ar, Jin-Yi Cai, Chapter 5: Reliable Benchmarks Using Numerical Stability, Proceedings of the Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, Association for Computing Machinery...

Questions about defective matrices

What is defective matrices the plural of?
Defective matrices is the plural of defective matrix.

Words near defective matrices in the dictionary

  1. defectionist
  2. defectionists
  3. defections
  4. defectious
  5. defective
  6. defective matrices
  7. defective matrix
  8. defective number
  9. defective numbers
  10. defective on arrival
  11. defective verb

Source and license

Adapted from Wiktionary: defective matrices (page history and authors); defective matrix (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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