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Complex Matrices [closed]

asked 2013-03-25 04:24:01 +0200

TumericTJ gravatar image

Hey All---

I know that this is easy to do with, e.g., Octave or Sage, but I had wanted to compute some operator equations and was surprised not to find a way to deal with complex matrices in Calc.

Even sumproduct does not work for complex entries. Is there any remedy for this?

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Closed for the following reason question is not relevant or outdated by Alex Kemp
close date 2015-10-28 02:40:47.801819

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answered 2013-04-04 18:39:05 +0200

TumericTJ gravatar image

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---

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Search In the help index "array formulas", how matrix formula works in calc and the available matrix functions, one of them MMUL() to calculates the array product of two arrays.

m.a.riosv gravatar imagem.a.riosv ( 2013-04-04 21:38:13 +0200 )edit
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answered 2013-03-25 23:07:45 +0200

m.a.riosv gravatar image

Hi TumericTJ, maybe explaining a bit what you want, even better with a little sample, someone could help you.

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Asked: 2013-03-25 04:24:01 +0200

Seen: 184 times

Last updated: Apr 04 '13