prove that Symmetry tensor of rank two has almost N(N+1)/2 different components in Vn.|| Lec 12

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A symmetric tensor of rank two has almost n(n+1)/2 different components in Vn| tensor calculas A symmetric tensor of rank two has almost n(n+1)/2 different components in Vn| tensor calculas
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In an n-dimentional space a covariant skew-symmetric tensor of second order has at most 1/2(n(n-1)) In an n-dimentional space a covariant skew-symmetric tensor of second order has at most 1/2(n(n-1))