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Matrix algebra and systems of equations

Examine the three cases for solutions of systems of equations — a unique solution, no solution and infinitely many solutions — and the geometric interpretation of a solution of a system of equations with three variables including a unique solution, no solution and infinitely many solutions.

u3-t5-s1-d6

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Three planes — unique, none, or infinite

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Geometric cases for a 3×3 system Ax = b as three planes in space — unique point, no solution (parallel), or a line of infinitely many solutions.

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