Matrices and Determinants

Section: Mathematics

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Question : 35 of 56

Marks: +1, -0

Let M be a 2×2 symmetric matrix with integer entries. Then M is invertible if

[JEE Adv 2014 P1]

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

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