# NumPy Linear Algebra: Exercises, Practice, Solution

## NumPy Linear Algebra [19 exercises with solution]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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