Let M be a 2 × 2 symmetric matrix with integer entries. Then M is invertible if
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let M be a 2 × 2 symmetric matrix with integer entries. Then M is invertible if
- the first column of M is the transpose of the second row of M.
- the second row of M is the transpose of the first column of M.
- M is a diagonal matrix with non-zero entries in the main diagonal.
- the product of entries in the main diagonal of M is not the square of an integer.
Answer
(D) the product of entries in the main diagonal of M is not the square of an integer.
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