Page 138 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

EXAMPLE 9 Using Cramer's Rule to Solve a Linear System
Use Cramer's rule to solve

Solution

Therefore,

Gabriel Cramer (1704–1752) was a Swiss mathematician. Although Cramer does not rank with the great mathematicians
of his time, his contributions as a disseminator of mathematical ideas have earned him a well-deserved place in the history
of mathematics. Cramer traveled extensively and met many of the leading mathematicians of his day.
Cramer's most widely known work, Introduction à l'analyse des lignes courbes algébriques (1750), was a study and
classification of algebraic curves; Cramer's rule appeared in the appendix. Although the rule bears his name, variations of
the idea were formulated earlier by various mathematicians. However, Cramer's superior notation helped clarify and