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Advantages of sparse matrices include efficient storage and reduced computational costs since they only store non-zero elements, which can lead to significant memory savings for large matrices with many zero entries. They also enable faster matrix operations by focusing on the non-zero elements, improving performance in certain algorithms. However, the disadvantages include potential overhead in managing the data structure and complexity in implementation, as specialized algorithms may be required for operations like multiplication or inversion. Additionally, using sparse matrices can lead to increased processing time for certain operations if the sparsity is low or if the matrix is not well-suited for sparse representation.

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