The storage requirement of n byn matrices with special structures are given in the table below. n by n matrix Storage requirement n2 n(n + 1)/2 z n² /2 n(n + 1)/2 z n²/2 No special structure Symmetric Upper/lower triangular Tridiagonal Зп — 2 ~ Зп 2n – 1= 2n |Тоeplitz Sparse with k nonzero elements - 3k Estimate the size n of the largest n by n symmetric matrix that can be stored in 8 Gb RAM using double precision floating point arithmetic. Assume that 1 Gb = 280 bytes. 3.28E4 4.63E4 5.37E8 3.58E8

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