| 11. | Thus the determinant of a square matrix is the product of the eigenvalues.
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| 12. | Square matrix rings arise as endomorphism rings of free modules with finite rank.
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| 13. | The "'determinant "'of a square matrix is an important property.
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| 14. | Not every square matrix is similar to a companion matrix.
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| 15. | Any square matrix A admits an " LUP " factorization.
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| 16. | The general method to reduce a square matrix to Jordan form is too long.
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| 17. | Any square matrix with unit Euclidean norm is the average of two unitary matrices.
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| 18. | Suppose Q _ { ij } is a symmetric square matrix with real entries.
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| 19. | The characteristic polynomial of a square matrix is an example of application of Vieta's formulas.
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| 20. | For example, any non-empty complex square matrix has at least one ( complex ) eigenvalue.
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