Order of calculations in a matrix problem.

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SUMMARY

The discussion centers on the matrix operation involving the expression (A + 2D)T. The consensus is that this expression simplifies to AT + 2DT. The key point of confusion is whether to multiply matrix D by 2 before or after taking the transpose. However, both approaches yield the same result, confirming the commutative property of scalar multiplication with respect to matrix transposition.

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thatguythere
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Homework Statement


(A+2D)T


Homework Equations





The Attempt at a Solution



I believe this would become AT+2DT. My only question then is, do I multiply the transpose of matrix D by 2, or multiply matrix D by two and then take the transpose? Thank you.
 
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thatguythere said:

Homework Statement


(A+2D)T


Homework Equations





The Attempt at a Solution



I believe this would become AT+2DT. My only question then is, do I multiply the transpose of matrix D by 2, or multiply matrix D by two and then take the transpose? Thank you.

There's really no difference, is there?
 
Excuse me while I hang my head in shame.
 

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