Total 2×2 matrices with entries 0 or 1: 24=16.
For non-singular, det=ad−bc=0.
Case det=1: ad=1,bc=0⇒a=d=1 and (b,c)∈{(0,0),(0,1),(1,0)}: 3 matrices.
Case det=−1: ad=0,bc=1⇒b=c=1 and (a,d)∈{(0,0),(0,1),(1,0)}: 3 matrices.
Total = 6.
CUET UG 2022 — Mathematics Algebra
The number of all possible non-singular matrices of order 2×2 with each entry 0 or 1 is :
Held on 7 Aug 2022 · Verified 13 Jul 2026.
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