The number of 3×3 matrices A whose entries are either 0 or 1 and for which the system Axyz=100 has exactly two distinct solutions, is

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29−1

168

answer is A.

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Detailed Solution

Since, Axyz=100 is linear equation in three variables and that could have only unique, no solution or infinitely many solutions.∴ It is the possible to have two solutionsHence, number of matrices A is zero.

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