Hello, I am trying to determine two different matrices such that . I am trying to solve this algebraically. Here is what I have attempted:
Last edited by Fourier; Sep 4th 2007 at 04:47 PM.
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Originally Posted by Fourier Hello, I am trying to determine two different matrices such that . I am trying to solve this algebraically. Here is what I have attempted: Set b = c = 0. Then a^2 = d^2 = 1. So I and -I fall out as 2 of 4 solutions.
Originally Posted by Fourier Hello, I am trying to determine two different matrices such that . I am trying to solve this algebraically. Here is what I have attempted: Set , then so: RonL
Hello, Fourier! You're off to a good start . . . . . 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.
Originally Posted by Soroban Hello, Fourier! You're off to a good start . . . 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. More solutions are and and and for
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