Develop a reordering matrix based on stored vectors

I would like to make a reordering matrix to remap values in a matrix. This is a tool used in the determination of gobal stiffness matrices for trusses, beams, frames, etc. We start with two vectors defined as order_old and order_new.

order_old = [1 2 3 4 5 6];
order_new = [4 5 1 2 3 6];

Then arrange them along side a blank 6x6 matrix placing 1's where indecies match and 0's where they do not. See the image below for clarification.

This matrix will then be used to reorder a stiffness matrix in one corrderinate system (old order) to the new coordinate system (new order). Is there a way to make the matrix "output" as shown in the figure above in matlab?

Answer 1

[Voss]

order_old = [1 2 3 4 5 6];
order_new = [4 5 1 2 3 6];

Output = order_old.' == order_new