Consider the matrix 'multiplication' here: vector $ matrix If I were to multiply as usual I would get:$$(c\hspace{3mm}0\hspace{3mm} a+b)$$
However, I wish to ignore any zeros and + symbols so as to produce the answer (c a b), as shown in the image. In other words, I wish to use a matrix to permute objects. Is there a way?
Move the $1$ in the top row to the center, and put a $0$ in the top right corner.
For more on such matrices, see here.