Goldman Sachs·Software Engineer·Technical Phone Screen
Jun 2026
Goldman Sachs linear algebra question, pretty much a pure math screen. One system of equations, three unknowns, figure out what kind of solution set you're dealing with. Short and focused.
- Given the system of three linear equations with three unknowns (2x₁ − 2x₃ = 10, 2x₁ + 3x₂ + x₃ = 20, −x₁ + x₂ + 2x₃ = 5), determine whether the system has a unique solution, infinitely many solutions, no solution, or none of those cases.
“Row reduction is the move here.” The rest of the author's notes on Software Engineer interview at Goldman Sachs, Technical Phone Screen round, covers how they worked through the question, what the panel pushed back on, and what they would do differently.
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