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Question: problem 1 in class we briefly discussed geometric interpretation of...

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Problem 1: In class, we briefly discussed geometric interpretation of linear system of equations in two or three variables. This is also discussed in the book on page 273, example 1. Consider the linear systems of equations: x1-x2 =-3 a) x1 22 3 Sketch the line corresponding to each equation on thex1,x2 plane. Based on these lines, state whether you expect the system to have no solution, one solution, or infinite number of solutions. Solve the system using Gaussian elimination and confirm your geometric observation. Repeat these steps for x1 +x2 =1 b) 2x1 +2x2 *+21 c) 3x1 +3x2 -3

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