I am having a problem in understanding a notation in the book Matrix Analysis by C Meyer.

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I am having a problem in understanding a notation in the book Matrix Analysis by C Meyer.

I have taken a screen shot of the book

The notation of $A_{*1}$ is where I am facing problem.

Also I want a detail of Reflector....where will I get??

Help Needed!

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$A_{\ast j}$ denotes the $j$-th column of $A$ (and we also denote the $i$-th row of $A$ by $A_{i\ast}$). It is a rather popular notation in linear algebra literature.

You may see Wikipedia for accounts of reflections and Householder reflections. Alternatively, consult any numerical linear algebra textbook.