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Linear Algebra for Data Science Using Python

Challenge: Linear Combination Checker

Explore how to create a function that checks whether a given matrix can be expressed as a linear combination of two other matrices using integer scalars within a specified range. Understand the brute force approach to loop through possible scalar values and apply this concept to solve linear algebra problems relevant to data science with Python.

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Problem statement

Write an IsIntLC function that accepts three matrices, A,BA, B, and CC as input. S={−100,−99,...−1,0,1,...99,100}S=\{-100,-99,...-1,0,1,...99,100\} is the set of scalars to choose from. Your challenge is to check if matrix CC can be written as a linear combination of matrices AA and BB, with scalars from SS.

Example

Consider

A=[532678254]B=[111 ...