Consider the following statements regarding square matrices: Statement-I: If X is an n × n matrix, then det(mX) = mn det(X), where m is a scalar. Statement-II: If Y is a matrix obtained from X by multiplying any single row or column by a scalar m, then det(Y) = m det(X). Which one of the following is correct in respect of the above statements?

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Mathematics · Matrices and Determinants

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Both Statement-I and Statement-II are correct and Statement-II explains Statement-I

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Answer 1

Both Statement-I and Statement-II are correct and Statement-II explains Statement-I

Answer 2

Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I

Answer 3

Statement-I is correct but Statement-II is inco rrect

Answer 4

Statement-I is incorrect but Statement-II i s correct

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