Let \( M \) be a \( 2 \times 2 \) symmetric matrix with integer ent... VIDEO
Let \( M \) be a \( 2 \times 2 \) symmetric matrix with integer entries.
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Then, \( M \) is invertible, if
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(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
[JEE Advanced 2014, 3M]
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