Definition:Equivalent Systems of Simultaneous Linear Equations
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Definition
Let $S_1$ and $S_2$ be two systems of simultaneous linear equations.
Then $S_1$ and $S_2$ are equivalent if and only if:
and:
Sources
- 1982: A.O. Morris: Linear Algebra: An Introduction (2nd ed.) ... (previous) ... (next): Chapter $1$: Linear Equations and Matrices: $1.3$ Applications to Linear Equations: Definition $1.6$