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I need to prove or disprove whether non-singular matrices commute. Can you help me and tell me how? What should i use cos i really don't know, I am beginner in this.

Thanks in advance.

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    Make up two random two-by-two matrices, multiply in both ways, and report back.2010-11-06
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    The best thing to do when you're not sure what to do is try it out.2010-11-06
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    I agree with both of the two comments above. If the OP is looking for more courage: in fact two nonsingular matrices, chosen at random, "usually" do not commute, so probably the first example you try will work. Just make sure not to take either of them of the form $[a 0][0 a]$ -- such matrices commute with every matrix.2010-11-06

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