Consider the following statements :
$(a)$ If any two rows or columns of a determinant are identical,then the value of the determinant is zero.
$(b)$ If the corresponding rows and columns of a determinant are interchanged,then the value of the determinant does not change.
$(c)$ If any two rows (or columns) of a determinant are interchanged,then the value of the determinant changes in sign.
Which of these are correct?

  • A
    $(a)$ and $(b)$
  • B
    $(b)$ and $(c)$
  • C
    $(a)$ and $(c)$
  • D
    $(a)$,$(b)$ and $(c)$

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