True or False - justify the answer. a) The general solution of a linear system i

Question

True or False - justify the answer. a) The general solution of a linear system is the explicitdescription of all solutions of the system. b) We consider a linear system of 3 equations with 3variablews. If the reduced row-echelon form of thecoefficient matrix of the system has a leading 1 in each column,the system is solvable. True or False - justify the answer. a) The general solution of a linear system is the explicitdescription of all solutions of the system. b) We consider a linear system of 3 equations with 3variablews. If the reduced row-echelon form of thecoefficient matrix of the system has a leading 1 in each column,the system is solvable.

Explanation / Answer

b) True. If by using elementary row operations we are able toobtain a coefficient matrix in RREF then we have found thesolutions to each varible in each respective row of the augmentedmatrix
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