Math 2210 TOP Exam Questions and CORRECT Answers
System of Equations: Consistent/Inconsistent Has a solution (or many)= Consistent No solution= inconsistent Matrices: Echelon Form Requirements 1. All nonzero rows are above zero rows 2. each leading entry of a row is in a column to the right of the leading entry of the row above it 3. all entries in a column below a leading entry are 0s Matrices: Reduced Echelon Form Requirements all 3 of Echelon Form 4. each leading entry in each nonzero row is a 1 5. each leading 1 is the only nonzero entry in the row Matrices: Theorem 2 linear system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Or it has no row of the form [00...0 b] where b is nonzero
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