Hey marios—
I actually found a nice (but bit unwieldy) way to do one of the things I wanted, which was to compute Probabilities from inner products for an undergrad course in Quantum Mechanics.
For example, a spin-up particle might be represented with the vector (1, 0); spin down with (0, 1).
Then the probability that the first would be measured in the state of the second would be | (1, 0)*^T (0, 1) |^2 = 0.
For my assignment I was working with 3-vectors with complex entries (such as 1 / sqrt(2) * (1, 0, i)), and I wished the general matrix commands could be used to make a table of probabilities quickly.
Instead I resorted to implementing a definition formula with the complex sum and product commands.
But similarly, I would like to make a matrix multiplication table, listing all 27 combinations Ax, where the A are matrices such as (0, 0, 0; i, 0, 0; 0, 0, 1) and x vectors such as (1, 0, i).
Thanks—