Uploaded September 2021 | Updated September 2026, 9 hours ago

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This was the last question of my first linear algebra exam. Can you solve it?
Let f be a linear function that satisfies f(1, 0, 0) = (1, -1, 0), f(0, 1, 0) = (1, 1, 0), and f(0, 0, 1) = (1, 0, 0). Find a nonzero vector x such that f(x) = 0.

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