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If the matrix A=1/3 {:((a,2,2),(2,1,b),(...

If the matrix `A=1/3 {:((a,2,2),(2,1,b),(2,c,1)):}` obeys the law `"AA"'=I,` find a,b,and c (Here A' is the transpose of A and I is the unit matrix of order 3).

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The correct Answer is:
a = 1, b = c = -2
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