Math 2210 - Study guides, Class notes & Summaries

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 nonzer...

cofactor definitioncij(A) = (-1)^(i+j) det(Aij) (-1)^(i+j) is called the sign of the (i,j)-position if A has a row or column of zeros,det(A) = 0 if two distinct rows (or columns) of A are interchanged, the determinant of the resulting matrix is-detA if a row (or column) of A is multiplied by a constant u, the determinant of the resulting matrix isu(detA) if two distinct rows (or columns) of A are identical, detA =0