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To compute the $k$-th power of a diagonal matrix, you raise each diagonal entry to the power of $k$. This avoids the complexity of repeated general matrix multiplication.

Conditions: The matrix is diagonal.; The exponent $k$ is a positive integer.

To compute the $k$-th power of a diagonal matrix, you raise each diagonal entry to the power of $k$. This avoids the complexity of repeated general matrix multiplication.

Conditions: The matrix is diagonal.; The exponent $k$ is a positive integer.