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Consider the following statements : (a...

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 (c)

B

(a) and (b)

C

(a), (b) and (c)

D

(b) and (c)

Text Solution

Verified by Experts

The correct Answer is:
C
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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 ?

If any two rows (or columns) of a determinant are identical then the value of the determinants is 0.

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