The number of 3 × 3 matrices... | JEE Advanced | Mathematics

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Question

The number of $3 \times 3$ matrices $A$ whose entries are either 0 or 1 and for which the system $A\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right]$ has exactly two distinct solutions, is

Select the correct option:

A

0.0

B

$2^9-1$

C

168

D

2

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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