Quote:
Originally Posted by sumadin
It seems to me from thinking about it that M is symmetric, and as such M = M-1. Is that actually the case?
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M is symmetric, but that doesn't mean M = M inverse.
Symmetry means that M = M transpose (flipped along the identity axis), which is different than M inverse.
It's easy to confuse the two (I remember doing that plenty of times, thank Ms. Martin).
Here's an example where M = M inverse, and you quickly see that M is definitely not symmetric:
Code:
| 9 5 | | 9 5 | - | 1 0 |
| -16 -9 | | -16 -9 | - | 0 1 |
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