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## 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?