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About Linear Algebra Tools

System Solving

Solve linear systems using various methods including Gaussian elimination, LU decomposition, and least squares for overdetermined systems.

  • Gaussian Elimination
  • RREF Computation
  • Least Squares

Matrix Factorization

Decompose matrices into simpler forms using LU, QR, and other factorization methods for efficient computation and analysis.

  • LU Decomposition
  • QR Factorization
  • Cholesky Decomposition

Orthogonalization

Transform vector sets into orthogonal bases using Gram-Schmidt process and analyze vector spaces and subspaces.

  • Gram-Schmidt Process
  • Orthogonal Projections
  • Basis Computation

Advanced Analysis

Perform stability analysis, convergence testing, and numerical condition assessment for robust mathematical solutions.

  • Stability Analysis
  • Convergence Testing
  • Condition Numbers