Problem #3: Let F(x, y, z) = (3y, 4x, 3y). Use Stokes' theorem to compute Sc F. dr where C is the intersection of the cylinder x² + y² = 4 and the surface z = 8. The curve C is oriented counter clockwise as viewed from above.

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A: This is true and follows from a famous theorem in linear algebra.

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A: The exercise follows using multiplicative property of Legendre symbols

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A: Given:The matrix is given by .To Find:We have to find the determinant of the matrix .

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