Two chapters of my book https://pimbook.org https://pimbook.org focus on linear algebra, with the first chapter being for SVD (a workhorse of data analysis) and

Two chapters of my book https://pimbook.org https://pimbook.org focus on linear algebra, with the first chapter being for SVD (a workhorse of data analysis) and the second demonstrating physics modeling using eigenvectors and eigenvalues. But if you really want practical applications, you probably want to read a book on numerical analysis, which is where linear algebra really finds its glory.