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For matrices of same dimension $M, N$ and scalar $c$, which one of these properties DOES NOT ALWAYS hold?

  1. $(M^{T})^{T} = M$
  2. $(cM)^{T}  = c(M)^{T}$
  3. $(M+N)^{T} = M^{T} + N^{T}$
  4. $MN = NM$
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