Solve System of Linear Equations Using Cramer's Rule
Linear Systems & Numerical Methods DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Solve System of Linear Equations Using Cramer's Rule, Cramer's Rule, Determinant of a Matrix, Cofactor Expansion, Singular Matrix, Matrix Column Replacement, Linear Algebra, Numerical Methods, Algorithm Design, Computational Mathematics, Software Engineering, Matrix Algebra, Linear System Solvers, Determinant Computation, Algorithmic Efficiency, Numerical Stability.
Implement a function to solve a system of linear equations $Ax = b$ using Cramer's Rule. The function should take a square coefficient matrix $A$ and a constant vector $b$, and return the solution vector $x$. If the system has no unique solution (i.e., the determinant of $A$ is zero), return 1.