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

Engineering

Mathematics

Inverse of a Matrix

Question

the product of entries in the main diagonal of M is not the square of an integer.

M is a diagonal matrix with nonzero entries in the main diagonal.

the second row of M is the transpose of the first column of M.

the first column of M is the transpose of the second row of M.

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$M = [\begin{matrix} a & b \\ b & c \end{matrix}]$

$| M | = ac - b^{2} \neq 0 \Rightarrow ac \neq b^{2} \Rightarrow option (C) (D)$