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NUMPY LINEAR ALGEBRA

1.Write a NumPy program to compute the multiplication of two given matrixes.

2. Write a NumPy program to compute the outer product of two given vectors.

3. Write a NumPy program to compute the cross product of two given vectors.

4. Write a NumPy program to compute the determinant of a given square array.

5. Write a NumPy program to evaluate Einstein’s summation convention of two given multidimensional arrays.

6. Write a NumPy program to compute the inner product of vectors for 1-D arrays (without complex conjugation) and in higher dimension.

7. Write a NumPy program to compute the eigenvalues and right eigenvectors of a given square array.

8. Write a NumPy program to compute the Kronecker product of two given mulitdimension arrays.

9. Write a NumPy program to compute the condition number of a given matrix.

10. Write a NumPy program to find a matrix or vector norm.

11. Write a NumPy program to compute the determinant of an array.

12. Write a NumPy program to compute the inverse of a given matrix.

13. Write a NumPy program to calculate the QR decomposition of a given matrix.

14.Write a NumPy program to compute the condition number of a given matrix.

15. Write a NumPy program to compute the sum of the diagonal element of a given array.

16. Write a NumPy program to get the lower-triangular L in the Cholesky decomposition of a given array.

17. Write a NumPy program to get the qr factorization of a given array.

18. Write a NumPy program to compute the factor of a given array by Singular Value Decomposition.

19. Write a NumPy program to calculate the Frobenius norm and the condition number of a given array.

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