JEE Mathematics · Hard

Matrices and Determinants: Characteristic equation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Characteristic equationHardQuestion 250013

Question

The trace of a 2×2 matrix [[a, b], [c, d]] is:
  1. A
    a + d
    Correct
  2. B
    ad − bc
  3. C
    a + b + c + d
  4. D
    a × d

Correct answer

a + d

Explanation

The trace of a matrix is the sum of diagonal elements. For [[a,b],[c,d]], trace = a + d.