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An n × n matrix is skew-symmetric provided
A^T = −A. Show that if A is skew-symmetric and
n is an odd positive integer, then A is not
invertible.
When you do this proof, is it necessary to prove that the determinant of A transpose = determinant of -A?
A^T = −A. Show that if A is skew-symmetric and
n is an odd positive integer, then A is not
invertible.
When you do this proof, is it necessary to prove that the determinant of A transpose = determinant of -A?