Wednesday, 26 March 2014

linear algebra - Find the determinant of the following matrix

Find the determinant of the following matrix:
A=[1+x21x1x2...x1xnx2x11+x22...x2xn............xnx1xnx2...1+x2n]



I computed for the case n=2, and n=3 and guessed that det should be 1+\sum_{i=1}^n x_i^2 but not sure how to proceed for any n.

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