# NumPy Linear Algebra: Exercises, Practice, Solution

## NumPy Linear Algebra [19 exercises with solution]

[*An editor is available at the bottom of the page to write and execute the scripts.*]

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

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

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

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

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

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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. Go to the editor

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

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

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

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

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

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

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

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

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

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

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

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

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

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**Python Code Editor:**

**More to Come !**

**Do not submit any solution of the above exercises at here, if you want to contribute go to the appropriate exercise page.**

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## Python: Tips of the Day

**Python: Annotated Assignment Statement**

This might not seem as impressive as some other tricks but it's a new syntax that was introduced to Python in recent years and just good to be aware of.

Annotated assignments allow the coder to leave type hints in the code. These don't have any enforcing power at least not yet. It's still nice to be able to imply some type hints and definitely offers more options than only being able to comment regarding expected types of variables.

day: str = 'Monday' print(day) lst: list = [1,2,3,4] print(lst)

Output:

Monday [1, 2, 3, 4]

Or the same thing in a shorter way:

day= 'Monday' #str print(day) lst= [1,2,3,4] # list print(lst)

Output:

Monday [1, 2, 3, 4]

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