Order of operations for matrix algebra

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$A$ and $B$ are matrices. I need to evaluate $A-BB^T$, where $B^T$ is $B$ transpose. I'm just confused on the order of operations. My thoughts are:

  1. find $B^T$
  2. multiply $B$ and $B^T$
  3. subtract that product from $A$

Is this order correct?

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Community wiki answer so the question can be marked as answered:

Yes, as pointed out in the comments, this is correct.