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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
Matrix A :
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  1. `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
  2. `[[6,-2,2],[-2,3,-1],[2,-1,3]]`
  3. `[[3,2,4],[2,0,2],[4,2,3]]`
  4. `[[1,1,1],[-1,-3,-3],[2,4,4]]`
  5. `[[1,2,1],[6,-1,0],[-1,-2,-1]]`
  6. `[[1,2,3],[0,1,0],[2,3,1]]`
  7. `[[2,3],[4,10]]`
  8. `[[5,1],[4,2]]`
  9. `[[6,3],[4,5]]`
 
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