16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 1.4.10

Systems of Linear Equations

Mathematics — Linear Algebra · row-reduced-echelon-uniqueness

Problem

Suppose RR and R′R' are 2×32 \times 3 row-reduced echelon matrices and that the systems RX=0RX = 0 and R′X=0R'X = 0 have exactly the same solutions. Prove that R=R′R = R'.

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