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1. Given an mn linear system written as an augmented matrix, there are three row operations used to reduce the matrix (either Gauss or Gauss-Jordan

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1. Given an mn linear system written as an augmented matrix, there are three row operations used to reduce the matrix (either Gauss or Gauss-Jordan Reduction): - Add (subtract) one row to another - Multiply one row with a non-zero scalar - Interchange two rows a) Explain why each of the operations will not change the solution to the linear system. b) Explain why you must not multiply one row with 0

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