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Let {M}be a {2}{2}symmetric matrix with integer entries. Then

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Let $M$ be a $2 \times 2$ symmetric matrix with integer entries. Then $M$ is invertible ifThe 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 diagonalThe product of entries in the main diagonal of $M$ is not the square of an integer

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Harper Discussed

Let

M

be a

2 \times 2

symmetric matrix with integer entries. Then

M

is invertible ifThe 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 diagonalThe product of entries in the main diagonal of

M

is not the square of an integer

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Question Text	Let $M$ be a $2 \times 2$ symmetric matrix with integer entries. Then $M$ is invertible ifThe 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 diagonalThe product of entries in the main diagonal of $M$ is not the square of an integer
Answer Type	Video solution: 1
Upvotes	150