Can some 1 please help me with this as i really hate and sturggle doing matrix proof (Angry)

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- January 24th 2009, 12:52 PMnerdomatrix proof 1
*Can some 1 please help me with this as i really hate and sturggle doing matrix proof (Angry)*

*Attachment 9795* - January 24th 2009, 01:09 PMGaloisTheory1
- January 24th 2009, 01:18 PMnerdo
Once again thanks for the help

- January 25th 2009, 01:13 PMnerdo
- January 25th 2009, 01:44 PMmr fantastic

Correct. The example given does not answer the question. Also, since one of them is the identity matrix they obviously commute .....

Surely it's not too hard to find two matrices that satisfy the requirements of (b). In fact, I bet you could choose to 2x2 matrices at random that would work ..... Then the answer to c is obvious.

As for (a), two trivial matrices that satisfy the requirements are

[1, 1]

[1, 1]

[2, 2]

[2, 2]

It is not too hard to construct less trivial examples ..... - January 25th 2009, 01:48 PMnerdo