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🔷All∑Math⚙️Algo🗂️DS📚Theory

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#xor basis
∑MathIntermediate

Linear Basis for XOR

A linear basis for XOR is a compact set of at most W numbers (W = number of bits) that can generate every XOR value obtainable from a multiset of numbers.

#xor basis#linear basis#gaussian elimination f2+12
∑MathIntermediate

Matrix Rank and Linear Independence

Matrix rank is the number of pivots after Gaussian elimination and equals the dimension of both the column space and the row space.

#matrix rank#linear independence#gaussian elimination+12