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← Logic & PuzzlesA reconnaissance drone's onboard computer uses a Kalman filter, which relies on matrix inversion, to estimate its position. Which outcome occurs when the state transition matrix becomes singular?
A)Power consumption decreases dramatically
B)Sensor noise is perfectly eliminated
C)Position estimate becomes uncomputable✓
D)Control surfaces lock into place
💡 Explanation
When the state transition matrix is singular, its determinant is zero, making it non-invertible. The Kalman filter needs the inverse for updating its state estimate; therefore, the position estimate becomes uncomputable, rather than other effects on power or control, because the matrix inversion step fails.
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