Order of calculations in a matrix problem.

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.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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