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Question

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) and (b)

(b) and (c)

(a) and (c)

(a), (b), and (c)

Solution

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