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Determinant of a second order tensor
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A second order tensor S its inverse is S^-1. Using matlab randi function to gen a square (NxN) matrix S with components between 0 to 9 and N=3. Calculate the determinant by randomly picking one of the ith row of the matrix. Using a loop to multiply each jth element of the selected ith row by its minor i.e, the determinant of the (N-1xN-1) matrix obtained deleting the ith row and the jth column from matrix S(i,j).If i+j is odd multiply each product by -1 use matlab function mod(x,y) with x=i+y and y=2 to determine the sign of the product.Sum all product.
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