[Linear Algebra] How to prove this?
Recall that the n-dimensional identity matrix I_n is the n × n matrix that has ones on the diagonal and zeros everywhere else. An n-dimensional permutation matrix is any matrix achieved by permuting the rows of In. Show that if P and Q are any n-dimensional permutation matrices, then the matrix P-Q is singular.
Posted Feb 21, 2016, 9:13 PM UTC
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