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  3. consider the system of linear equations x1 2x23x3 14...

Question: consider the system of linear equations x1 2x23x3 14...

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Consider the system of linear equations. x1 + 2x2-3x3 +14 = 1 3-24 = 6 1. (3 pts) Write down the matrix that represents the system. 2. (6 pts) Use Gaussian Elimination to transfer the above matrix into row echelon form. 3. (3 pts) The system is consistent. How many solutions does the system have? 4. (5 pts) Write down lead variables and free variables. 5. (8 pints) Solve the system and write down the solutions.

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