show that [tex]B_{ij}[/tex] can be written as the sum of a symmetric tensor(adsbygoogle = window.adsbygoogle || []).push({});

[tex]B^S_{ij}[/tex] and an antisymmetric tensor [tex]B^A_{ij}[/tex]

i dont know how to do this one.

for a symmetric tensor we have

[tex]B^S_{ij} = B^S_{ji}[/tex]

and for an antisymmetric tensor we have

[tex]B^A_{ij} = -B^A_{ji}[/tex]

the only thing my book says is that the sum should be a tensor of the same type.

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# Homework Help: Sum of tensors

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