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Case Study 2 : Matrices and Determinants (Class 12)
A small business owner, Rajiv, needed to manage his warehouse inventory based on supply and demand across three locations. He modeled his inventory flow using a system of three linear equations representing quantities shipped to and from locations. To find the exact values for each route, he expressed the system in matrix form and applied the inverse matrix method. Rajiv used the determinant of the coefficient matrix to check if a unique solution exists. Additionally, he applied cofactor and adjoint concepts to calculate the matrix inverse and solve for the unknowns. Let us explore how determinants help in such business optimization tasks.