Inconsistent 3x3 Linear System (No Solution)

① This GeoGebra example demonstrates a 3x3 system of linear equations (three equations, three unknowns) that is inconsistent, meaning it has no solution, by visualizing the geometric configuration of three planes in space that do not share a common intersection point. ② The core mathematical concepts include the existence and uniqueness of solutions to linear systems, the rank of the coefficient matrix versus the augmented matrix, Gaussian elimination, and the geometric interpretation of planes (parallel, coincident, or intersecting along lines but with no common point). ③ Construction details: The summary lists objects eq1, eq2, eq3, which are equation objects defining three linear equations. The construction likely uses the Algebra view to display the equations and the 3D Graphics view to plot the corresponding planes, allowing users to rotate the view to see that no single point satisfies all three equations. It is a static construction without sliders or dynamic parameters. ④ This is suitable for senior high school or introductory university linear algebra courses, serving as a visual aid for teachers or a self-exploration tool for students to distinguish between unique solution, infinitely many solutions, and no solution cases.