Proving a matrix is always symmetric

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$B$ is a square matrix of real numbers. Show that the matrix $BB^T$ is always symmetric.

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$$(BB^t)^t=(B^t)^tB^t........$$

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$(B\cdot B^{t})^{t} = (B^{t})^{t}\cdot B^{t}= B\cdot B^{t}$