Concepts3
βMathIntermediate
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
βMathAdvanced
Berlekamp-Massey Algorithm
BerlekampβMassey (BM) finds the shortest linear recurrence that exactly fits a given sequence over a field (e.g., modulo a prime).
#berlekamp-massey#linear recurrence#minimal polynomial+11
βMathAdvanced
Gaussian Elimination over GF(2)
Gaussian elimination over GF(2) is ordinary Gaussian elimination where addition and subtraction are XOR and multiplication is AND.
#gaussian elimination#gf(2)#xor basis+12