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9 · Systems of equations

Elementary row operations

Elementary row operations ALG-SIS-004 intermediate Foundation of Gaussian and Gauss–Jordan elimination. ALG-SIS-005 ALG-DET-005 matrix operaciones elementales sobre \([A\mid b]\) que preservan el withjunto solución (base d

23 · Matrix decompositions

LU decomposition

LU decomposition ALG-DEC-001 advanced Factors a matrix into triangular factors, with pivoting when needed. ALG-SIS-004 matrix LU as a compact sequence of Gaussian elimination. PA=LU

29 · Relationship maps

Vectors → Linear combination → Span → Independencia → Base → Dimensión Matrices → Sistemas → Gauss → Rank/Nullity Transformaciones → Kernel/Image → Valores propios → Diagonalization Dot product → Orthogonality → Pr