JEE Advanced · Mathematics · 18. Matrices
Let M be a symmetric matrix with integer entries. Then M is invertible if
- A The first column of M is the transpose of the second row of M
- B The second row of M is the transpose of the first column of M
- C M is a diagonal matrix with non - zero entries in the main diagonal
- D The product of entries in the main diagonal of M is not the square of an integer
Answer & Solution
Correct Answer
(D) The product of entries in the main diagonal of M is not the square of an integer
Step-by-step Solution
Detailed explanation
Let (where a, b, c )
Then Det
If
If
If square of integer,
Then Det
If
If
If square of integer,
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