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Jan 27, 2014 at 22:31 comment added Daniel Litt I understood the reference request as being about the Bloch-Quillen formula in the second sentence of the question; of course I agree that it is overkill for $K_1$.
Jan 27, 2014 at 20:55 comment added Steven Landsburg I'm a big fan of Bloch's lectures on algebraic cycles, but I think it's overkill in the current case, which comes down to the simple linear algebra of row reducibility.
Jan 27, 2014 at 18:36 history answered Daniel Litt CC BY-SA 3.0