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B Singular matrices

  1. May 1, 2017 #1
    Let's say A is a singular matrix. Will the transpose of this matrix be always singular? If so why?
     
  2. jcsd
  3. May 1, 2017 #2
    Determinant of A is equal to the determinant of the transpose of A.
    Since A is singular, det(A) = 0 which implies det(transpose of A) =0 and hence, transpose of A will also be a singular matrix.
     
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