Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) The number of 3 x 3 matrices A whose entries are either 0 or 1 and for which the system `A[[x],[y],[z]]=[[1],[0],[0]]` has exactly two distinct solution, is - Sarthaks eConnect

The number of 3 x 3 matrices A whose entries are either 0 or 1 and for which the system `A[[x],[y],[z]]=[[1],[0],[0]]` has exactly two distinct solution, is

The number of 3 x 3 matrices A whose entries are either 0 or 1 and for which the system `A[[x],[y],[z]]=[[1],[0],[0]]` has exactly two distinct solution, is

A.

0

B.

`2^9-1`

C.

168

D.

2

Solution

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Best answer

Which represent three distinct planes. But three planes can not intersect at two distinct points, therefore no such system exists.