If a linear transformation matrix is applied to a vector representing the initial state of a damped harmonic oscillator, which consequence follows?

💡 Explanation

The state vector rotates and decays because the linear transformation represents both rotation (oscillation) and scaling (damping) governed by the eigenvalues of the matrix; therefore, the vector spirals towards the origin, rather than exhibiting exponential growth or changes in frequency, which are inconsistent with linear transformation behavior.

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