Indicate which of the following are in row echelon form and which are in reduced

Question

Indicate which of the following are in row echelon form and which are in reduced row echelon form: (a) [1 0 0 0 2 1 1 1] Row echelon form?: yes no Reduced row echelon form?: yes no (b) [1 0 0 0 0 0 0 0 1] Row echelon form?: yes no Reduced row echelon form?: yes no (c) [1 0 0 3 0 0 1 1 0] Row echelon form?: yes no Reduced row echelon form?: yes no (d) [1 0 0 0 1 0 0 0] Row echelon form?: yes no Reduced row echelon form?: yes no (e) [1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 3 1 -6 1] Row echelon form?: yes no Reduced row echelon form?: yes no

Explanation / Answer

Dear Student Thank you for using Chegg !! A matrix is In row Row Elchlon form if following conditions are satisfied All nonzero rows are above any rows of all zeros Each leading entry of a row is in a column to the right of the leading entry of the row above it All entries in a column below a leading entry are zeros A matrix is in reduced row echlon form if The matrix is in row-echelon form Each leading 1 is the only nonzero entry in its column a) The given matrix is in row echlon form but not in reduced row echlon form since it has 2 non zero entity in column 3. b) The given matrix is not in row echlon form since a rw of all zeroes is above a row with leading entry (row 2 above row 3) c) The given matrix is in row echlon form but not in reduced row echlon form since it has 2 non zero entity in column 3. d) The given matrix is in row echlon form and also in reduced row echlon form since it has 2 non zero entity in column 3. e) The given matrix is in row echlon form and also in reduced row echlon form since it has 2 non zero entity in column 3. Solution

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