Find all 2 x 2 matrices such that . Is there a systematic way to do this?
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Let . Then . So . I. If or or . II. If , so that
This is a rather more straightforward way. If then That means that if . Thus ; that any two-by-two matrix with determinant equal –1 and a=-d has the property.
But doesn't exclude the possibility of the [1 0] [0 1] matrix? or the [-1 0] [0 -1] or are they just exceptions?
Originally Posted by DivideBy0 But doesn't exclude the possibility of the [1 0] [0 1] matrix? or the [-1 0] [0 -1] or are they just exceptions? [quote=red_dog;58719] I. If or This is one of the two cases that red_dog gave and covers your answer. -Dan
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