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anonymous

  • 5 years ago

the easiest way to solve a set of linear eqns in 3 variables using matrix or determinents

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  1. anonymous
    • 5 years ago
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    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.

  2. anonymous
    • 5 years ago
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    Cramer's Rule

  3. anonymous
    • 5 years ago
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    best way is to find through Cramer's Rule

  4. anonymous
    • 5 years ago
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    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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