Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 (Classic Reprint) - Softcover

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Excerpt from Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3

The theory is developed in an order which may seem unusual to readers already acquainted with other methods of treatment; but my object has been to obtain a fairly complete account in the minimum of space. If the methods of Weierstrass or Barboux had been adopted, a long and rather tedious discussion would have been needed for certain determinantal theorems (arts. 24, before the real problem of reduction could have been attacked. Further, the singular case would then have required an entirely separate discussion, of which the only satisfactory account1 is both involved and laborious.

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