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JEE Previous Year Question

Let be symmetric matrix with integer entries, then is invertible if

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

  1. Athe first column of is the transpose of second row of
  2. Bthe second row of is the transpose of first column of
  3. C is diagonal matrix with non-zero entries in the principal diagonal
  4. Dthe product of entries in the principal diagonal of is the product of entries in the other diagonal

Correct answer: C

Solution

(c) : If , then will be invertible only when .

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