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Matrices and Determinants question

2010 · Shift 1 · Q51

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JEE Advanced
Mathematics
Matrices and Determinants
2010 · Shift 1 · Q51

Matrices and Determinants question

2010 · Shift 1 · Q51

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1

The number of

3 \times 3

matrices A whose entries are either 0 or 1 and for which the system

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

has exactly two distinct solutions, is

A
0
B
$2^9-1$
C
168
D
2

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