Consider a linear 2 × 2 system (with unknowns x 1 and x 2 ) described by its augmented matrix…

Consider a linear 2 × 2 system (with unknowns x1 and x2) described by its augmented matrix

where ε > 0 is a very small constant.

a. Solve by Gauss elimination without partial pivoting.

b. Solve by Gauss elimination with partial pivoting. Compare the results and discuss their validity.

 

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