The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution,

emancipezN

emancipezN

Answered question

2021-05-23

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. [102|6013|1]

Answer & Explanation

Brighton

Brighton

Skilled2021-05-24Added 103 answers

The system is consistent and has infinitely many solutions.
Parameter: x3R
Row 2: x2+3x3=1x2=13x3
Row 1: x12x3=6x1=6+2x3

 Infinitely many solutions,

{x1=6+2x3x2=13x3,x3R

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