5 1 point Below five systems of linear equations have been p

5. (1 point) Below, five systems of linear equations have been put in reduced row echelon form. Identify how many solutions each one has, and enter that number in the blank. Enter the word \"infinite\" (without the quote marks) if there are infinitely many solutions. 01 0 0 0-1 001001-5 4 0 0 002 1 0 0 1-2 0 1 0-2-1 4

Solution

a) One soution: since each row has only single element that is 1 except the last column elements

b) infinite solutions , since there are only three rows which have non zero elements but variables are four

c) Infinite solutions , since there are 3 non zero rows and four variables

d) No solution : SInce the all elements of third row are zero except the element in last column in that row

e) One solution : Since all the rowa are reduced to only one non zero value and there is no row contain only zeros so there is only one solution