Solve the following linear system for x using Cramer’s rule.

Question

Show work.
x + 2y – 3z = -22
2x – 6y + 8z = 74
-x – 2y + 4z = 29

Cramer’s rule uses determinants to find the solution

Set up a 3by3 matrix using the coefficients of the x,y and z, and find its determinant, calling it D.

You can see a good example at
http://www.mathwords.com/c/cramers_rule.htm

Answer 1

Which method is most efficient for solving large systems, Cramer's Rule or Gaussian Elimination and why?