Flashcards
Systems of Linear Equations
Cards in this deck (8)
- 1No. equations = no. unknownsPossibilities: 1, 0, infinity
Most likely: 1 - 2No. equations < no. unknownsPossibilities: 0, infinity
Most likely: infinity - 3No. equations > no. unknownsPossibilities: 0
- 4Echelon form- All nonzero rows are above any rows of zeros
- Leading entry of a row is in a column to the right of the leading entries of any rows above it - 5Reduced row echelon formEchelon form where:
- Leading entry in any non-zero row is 1
- Every leading entry in a non-zero row is the only non-zero entry in its column
- 6No solution (inconsistent)Entries to the left are equal to zero and the entry on the right is non-zero
- 7Unique solution (consistent)Left side is a square matrix full of zeros, except for the 1s on the diagonal from the upper left to the lower right
- 8Infinite solutions (inconsistent)Assign different parameters to the free variables and obtain the general solution
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- Mathematics Flashcards on Systems of Linear Equations, created by Melina Mackey on 26/04/2019.
- Created by
- Melina Mackey · Apr 2019
- Updated
- Apr 26, 2019
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- Created by Melina Mackey · Apr 20, 2019
- Copied by Melina Mackey · Apr 21, 2019
- Copied by Melina Mackey · Apr 26, 2019
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