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Singulärwertzerlegung ℝ² ³- Singular value decomposition

Zu lösen ist A x = b mit A ={{1, 1, 1},{1, 1, 0}} b ={{3},{2}} Die Matrix A hat vollen Zeilenrang r.
  • Left-Right-Pseudo-Inverse
  • JordanDiagonalization JD
  • Basis Matrix of Eigen-Vectors JD(1)
  • Gram-Schmidt-Orthogonalization - CAS-Function gs() in Row-Vector-Form
  • Σ Matrix sqrt of Eigenvalues JD(2)
  • UT A V = Σ (23) due to Gram-Schmidt with row vectors - U,V numeric, U3,V3 symbolic
  • Solve