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KCET2014MathematicsIndefinite Integration

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 ?

Options

  1. A(a) and (b)
  2. B(b) and (c)
  3. C(a) and (c)
  4. D( ( a ),( b ) ) and ( ( c ) )

Correct answer

D. ( ( a ),( b ) ) and ( ( c ) )

Step-by-step solution

All the statements (a), (b) and (c) are correct.

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