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Linear AlgebraSuperchallengeRow Reduction & Rank

Row Reduction & Rank · Superchallenge problem

Let

R=(10010101001−1).R = \begin{pmatrix} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & -1 \end{pmatrix}.

How many 3×43\times 4 matrices, all of whose entries are 00 or 11, have reduced row echelon form equal to RR?

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