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Matrix Algebra

1. Reduce matrix
2. Rank of matrix
3. Characteristic polynomial
4. Eigenvalue
5. Eigenvector
6. Triangular Matrix
7. LU Decomposition
8. Diagonal Matrix
9. Cholesky Decomposition
10. QR Decomposition (GramSchmidt Method)
11. QR Decomposition (HouseHolder Method)
Matrix A :
X  
  
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  1. `[[6,15,55],[15,55,225],[55,225,979]]`
  2. `[[25,15,-5],[15,18,0],[-5,0,11]]`
  3. `[[18,22,54,42],[22,70,86,62],[54,86,174,134],[42,62,134,106]]`
  4. `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
 
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