The number of 3 × 3 matrices A whose entries are either 0… — JEE Main 2010 Mathematics PYQ

AIEEE 2010

The number of

3 \times 3

matrices

A

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

A \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}

has exactly two distinct solutions, is

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Correct option: A

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JEE Main 2010 Mathematics question on Matrices and Determinants