The transpose of a sum of matrices is the sum of the transposes.

Created almost 9 years ago, updated about 8 hours ago

For equal shapes, $(A+B)^T=A^T+B^T$. Check entry $ij$: both sides equal $a_{ji}+b_{ji}$. This is one of the linearity properties of transposition.

For equal shapes, $(A+B)^T=A^T+B^T$. Check entry $ij$: both sides equal $a_{ji}+b_{ji}$. This is one of the linearity properties of transposition.

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