Which of the following are in reduced row echelon form A 1

Which of the following are in reduced row echelon form? A = [1 0 0 1 0 10 -17 0 0 1 3] B = [1 0 0 0 1 0 0 0 0] C = [1 2 0 3 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0] D = [1 - 3 4 1 0 1 2 2 0 0 1 5] E = [0 1 2 0 0 0 1 3 4] F = [1 0 8 -3 2 0 1 4 -9 3 0 0 1 1 2]

Solution

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Reduced row echelon form

1) The matrix satisfies conditions for a row echelon form(The first non-zero element in each row, called the leading entry, is 1.
Each leading entry is in a column to the right of the leading entry in the previous row.

Rows with all zero elements, if any, are below rows having a non-zero element.)

2) The leading entry in each row is the only non-zero entry in its column.

Example:

1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0