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Matrices and Determinants question

2009 · Shift 1 · Q39

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JEE Advanced
Mathematics
Matrices and Determinants
2009 · Shift 1 · Q39

Matrices and Determinants question

2009 · Shift 1 · Q39

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1

Let A be the set of all 3

\times

3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.The number of matrices A in A for which the system of linear equations

A\left[ {\begin{matrix} x \\ y \\ z \\ \end{matrix} } \right] = \left[ {\begin{matrix} 1 \\ 0 \\ 0 \\ \end{matrix} } \right]

has a unique solution, is

A
less than 4
B
at least 4 but less than 7
C
at least 7 but less than 10
D
at least 10

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