anonymous
  • anonymous
the easiest way to solve a set of linear eqns in 3 variables using matrix or determinents
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Determinents allow you to see if the system is linearly independant (or not) without needing to actually solve the system. det() = 0? i.e. 1x + 2y + 3z = 0 (eq 1) -2x + 0y -2z = 2 (eq 2) -1x + 2y + 1z = 2 (eq 3) is a system that's not linearly independant (eq 3 = eq 2 + eq 1) Therefore, there is not a unique solution for the 3 variables x,y, & z.
anonymous
  • anonymous
Cramer's Rule
anonymous
  • anonymous
best way is to find through Cramer's Rule

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anonymous
  • anonymous
Best way to find it is to use Gaussian elimination. Cramer's rule is computationally inefficient, but easier on the brain if you have a calculator.

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