16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 1.3.5

Systems of Linear Equations

Mathematics — Linear Algebra · row-equivalence

Problem

Prove that the following two matrices are not row-equivalent: [200a−10bc3],[112−20−1135].\begin{bmatrix} 2 & 0 & 0 \\ a & -1 & 0 \\ b & c & 3 \end{bmatrix}, \qquad \begin{bmatrix} 1 & 1 & 2 \\ -2 & 0 & -1 \\ 1 & 3 & 5 \end{bmatrix}.

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