Question: Provide an alternative for the second half of the proof of Theorem NMUS, without appealing to properties of the reduced row-echelon form of the coefficient

Provide an alternative for the second half of the proof of Theorem NMUS, without appealing to properties of the reduced row-echelon form of the coefficient matrix. In other words, prove that if A is nonsingular, then LS(A, b) has a unique solution for every choice of the constant vector b. Construct this proof without using Theorem REMEF or Theorem RREFU.

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We assume A is nonsingular and try to solve the system LSA b without making any assumptions about b To do this we will begin by constructing a new homogeneous linear system of equations that looks ver... View full answer

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