Hello,

I am trying to determine two different matrices such that .

I am trying to solve this algebraically. Here is what I have attempted:

http://img207.imageshack.us/img207/7...4194511xi6.jpg

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- Sep 4th 2007, 05:35 PMFourierList Two Different Matrices A s.t. A^2=I
Hello,

I am trying to determine two different matrices such that .

I am trying to solve this algebraically. Here is what I have attempted:

http://img207.imageshack.us/img207/7...4194511xi6.jpg - Sep 4th 2007, 07:39 PMJakeD
- Sep 4th 2007, 08:19 PMCaptainBlack
- Sep 5th 2007, 06:10 AMSoroban
Hello, Fourier!

You're off to a good start . . .

Quote:

. .

We have: .

Subtract: .

If , then (5) and (6) give us: .

And (1) and (4) give us: .

. . Two solutions: . .and .

If , then (1) gives us: .

. . More solutions: . . . . . for . obviously.

- Sep 5th 2007, 07:02 AMJakeD