The mode-shape vectors are orthogonal with respect to the standard inner product. That is, (mathbf{X}_{j}^{T} mathbf{X}_{i}=0). Indicate

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The mode-shape vectors are orthogonal with respect to the standard inner product. That is, \(\mathbf{X}_{j}^{T} \mathbf{X}_{i}=0\).

Indicate whether the statement presented is true or false. If true, state why. If false, rewrite the statement to make it true.

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