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Consider the following statements : (...

Consider the following statements :
(i) If any two rows or columns of a determinant are identical, then the value of the determinant is zero.
(ii) If the corresponding rows and columns of a determinant are interchanged, then the value of the determinant does not change.
(iii) 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

(i) and (iii)

B

(i) and (ii)

C

(i), (ii) and (iii)

D

(ii) and (iii)

Text Solution

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The correct Answer is:
C
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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 ?

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