Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let A = 
= 
where a,b, c, d, e ∈ {0, 1}
then number of such matrix A for which system of equation AX = O have unique solution.
Text Solution
Verified by ExpertsThe correct answer is:
B
|A| ≠ 0 ⇒ a(ed – 0) + b (0 – ce)
|A| = aed – bce = e (ad – bc) ≠ 0
e = 1 and ad – bc ≠ 0
ad – bc = 1 if [ad = 1, bc = 0] Total = 3
ad – bc = –1 if [ad = 0, bc = 1] Total = 3
Total = 3 + 3 = 6
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