Mathematics · Matrices and Determinants
Consider the following statements: Assertion (A): If A is a 3 × 3 matrix given by row 1 = [5, 0, 3], row 2 = [-1, 0, 2], and row 3 = [1, 0, 1], then det(A) = 0. Reason (R): Laplace expansion permits the evaluation of a determinant along any row or column, and here all elements in column II are zero.
- 1A is incorrect but R is correct
- 2A is correct but R is incorrect
- 3Both A and R are correct, but R is not the correct explanation of A
- 4Both A and R are correct, and R is the correct explanation of A✓
Correct answer
Both A and R are correct, and R is the correct explanation of A
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