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Question 250009
JEE Mathematics · Medium

Matrices and Determinants: Inverse MCQ

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InverseMediumQuestion 250009

Question

A square matrix A is invertible if and only if:
  1. A
    det(A) ≠ 0
    Correct
  2. B
    A is symmetric
  3. C
    A = Aᵀ
  4. D
    Trace(A) ≠ 0

Correct answer

det(A) ≠ 0

Explanation

A matrix is invertible (non-singular) iff its determinant is non-zero. If det(A) = 0, the matrix is singular and has no inverse.

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