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If X & Y are 2 x 2 matrices with integer elements such that X 3 +Y 3 = A, then find the det (X + Y): for A see attachement

If X & Y are 2 x 2 matrices with integer elements such that X3+Y3 = A, then find the det (X + Y):  for  A see attachement
 

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Grade:12th pass

1 Answers

Y RAJYALAKSHMI
45 Points
6 years ago
by verification (trial and error) we can find that X = [ -1 0; 0 -1] & Y = [0 1; 0 -1].   det (X + Y) =  2

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