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Matrices and Determinants question

2014 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Matrices and Determinants
2014 · Shift 1 · Q34

Matrices and Determinants question

2014 · Shift 1 · Q34

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+3 / −1

Let M be a 2

\times

2 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

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