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If I have a vector c = [ a , 1 ]^{T}where the element a is a vector. If I multiply c by its transpose:

c^{T}c

is this defined? How do I calculate the a*a? Matrix multiplication rules would say that a * a is undefined because it is a nx1 matrix multiplied by a nx1 matrix. Or is the convention that it is the dot product?

Thank you in advance for your help!

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# Multiplication Of Vectors with a Vector As An Element

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