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Linear AlgebraChallengeRow Reduction & Rank

Row Reduction & Rank · Challenge problem

The matrix (1213253a13b4)\begin{pmatrix} 1 & 2 & 1 & 3 \\ 2 & 5 & 3 & a \\ 1 & 3 & b & 4 \end{pmatrix} has rank 22. Find a+ba + b.