Hello! Im confused over why rank(A) + nullity(A) = n = no. of columns of A, not no. of rows or something else.(adsbygoogle = window.adsbygoogle || []).push({});

My lecturer showed me something like a mxn matrix postmultiplied with a x-vector to get R^n, thus n = no. of cols. Makes sense when he was explaining but when i stepped out i realised that i didnt get it. Any help pls? Thanks!

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# Rank(A) + nullity(A) = no. of cols of A (WHY?)

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