Answer :
Final answer:
Equivalent systems are obtained by eliminating dependent equations under specified conditions to ensure non-trivial solutions exist.
Explanation:
Solving equivalent systems by elimination of dependent equations involves conditions such as two rows being equal or if two rows are proportional, resulting in a system without non-trivial solutions. The concept is rooted in the determinant of coefficients needing to vanish for homogeneous linear equations to have non-trivial solutions.
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