# Defranza linear algebra solution manual

## Students Solutions Manual T/A Intro to Linear Algebra by James DeFranza

## Defranza solution manual

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This procedure utilizes three operations that when applied to a linear system result in a new system that is equivalent to the original. Equivalent means that the linear systems have the same solutions. The three operations are: Interchange two equations. Multiply any equation by a nonzero constant. Add a multiple of one equation to another. When used judiciously these three operations allow us to reduce a linear system to a triangular linear system, which can be solved. A linear system is consistent if there is at least one solution and is inconsistent if there are no solutions.

This procedure utilizes three operations that when applied to a linear system result in a new system that is equivalent to the original. Equivalent means that the linear systems have the same solutions. The three operations are: Interchange two equations. Multiply any equation by a nonzero constant. Add a multiple of one equation to another. When used judiciously these three operations allow us to reduce a linear system to a triangular linear system, which can be solved. A linear system is consistent if there is at least one solution and is inconsistent if there are no solutions.

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