Flashcards
Linear Algebra 4 theoremes a Day
Cards in this deck (6)
- 1Each Matrix is row equivalent...Each matrix is row equivalent to one, and only one, reduced echelon matrix.
- 2A linear system is consistent...A linear system is consistent if, and only if the rightmost column of the augmented matrix is not a
pivot column. - 3If a linear system is consistent3. If a linear system is consistent, and if there are no free variables, there exists only 1 solution. If
there are free variables, the solution set contains infinitely many solutions. - 4A vector equation x1a1...4. A vector equation x1a1 + x2a2 + . . . + xnan = b has the same solution set as the linear system
whose augmented matrix is [a1 a2 . . . an b]. - 5A vector b is in span...5. A vector b is in Span{v1, . . ., vp} if, and only if the linear system with augmented matrix
[v1 v2 . . . vp b] has a solution. - 6For each b in Rm
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- Flashcards on Linear Algebra 4 theoremes a Day , created by Roy Hove on 11/12/2015.
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- Roy Hove
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