:triangular_ruler:Computing solutions to linear systems of equations provides a litmus test for understanding the underlying concepts.

:chart_with_upwards_trend:Cramer's Rule offers a deeper understanding of the theory behind linear systems of equations.

:art:Cramer's Rule provides an elegant and visually appealing alternative to Gaussian elimination.

:books:Understanding determinants, dot products, and linear systems of equations is crucial for grasping Cramer's Rule.

:compass:Geometric interpretations, such as measuring areas and volumes, shed light on the coordinates of the input vector.