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How do you multiply two of the same matrix with same dimension like example below? Do I need to transverse the second matrix or dot product?

3x1 * 3x1

$$ [1,2,3]*[4,5,6]\\ [4,5,6]*[1,2,3] $$

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closed as off-topic by José Carlos Santos, Henrik, GNUSupporter 8964民主女神 地下教會, Namaste, A. Goodier Mar 31 '18 at 12:54

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It is strictly speaking not defined.

The definition of matrix multiplication of two matrices $AB$ requires $A$ is of size $m$ by $p$ and $B$ is of size $p$ by $n$ and the produce is of size $m$ by $n$.

In some programming language such as Python, it might be defined as the dot product when you deal with $2$ vectors.

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  • $\begingroup$ If we are dealing with 2 vectors how would I solve this? $\endgroup$ – hamletsbrown dock Mar 31 '18 at 8:29
  • $\begingroup$ It is not defined... are you dealing with a programming language? If so, which language? $\endgroup$ – Siong Thye Goh Mar 31 '18 at 8:30
  • $\begingroup$ No I dealing with just basic vectros, For example the above I know how to find find dot product is that dot product the i or j or z value? The answer is express. Not sure if the question is correct or wrong. I $\endgroup$ – hamletsbrown dock Mar 31 '18 at 9:04
  • $\begingroup$ dot product for two real column vectors can be written as $u^Tv$. dot product of two real row vectors can be written as $uv^T$. notation wise, we do write it as $\langle u, v \rangle$. $\endgroup$ – Siong Thye Goh Mar 31 '18 at 9:07

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