- #1
Tonyt88
- 62
- 0
Homework Statement
Determine which of the matrices below are in reduced row-echelon form:
a)
1_2_0_2_0
0_0_1_3_0
0_0_1_4_0
0_0_0_0_1
b)
0_1_2_0_3
0_0_0_1_4
0_0_0_0_0
c)
1_2_0_3
0_0_0_0
0_0_1_2
d)
0_1_2_3_4
Homework Equations
The Attempt at a Solution
Okay, so I know for sure that (a) is not in reduced row-echelon form because the leading one in row 2 had a nonzero value in its column.
(b) is in reduced row-echelon form.
(c) is the one I'm most curious about. I feel that since there is a leading 1 in row 3, but that there is no leading 1 in row two (and to the left at that) that it's not in reduced row-echelon form, is this correct?
(d) I feel confident is in reduced row-echelon form.
Are all my thoughts correct?