Determine whether the following matrices are in echelon form

Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon form Reduced Echelon Form [1 0 0 -10 0 1 0 -10 0 0 0 0 0] Not in Echelon Form [-8 -4 -8 -9 -8 0 2 1 1 1 0 0 1 0 3 0 0 0 1 0] Reduced Echelon Form [1 1 -4 1 0 -10] Echelon Form [1 0 0 -5 0 0 0 0 0 1 0 2]

Solution

a) Its is in Reduced echlon form as zero row is in bottom , first leading term of the 1st row is on extreme left,

b) The second row has 2 as eading term

So,not in Echlon form.

c) Not in echlon form

d) Echelon form