Unique solution requires determinant of coefficient matrix to be non-zero.
det=1⋅[3(2p+1)−0]−2⋅[0−3]−3⋅[0−3(2p+1)]
=(6p+3)+6+3(6p+3)=24p+18.
For unique solution, 24p+18=0, so p=−43.
CUET UG 2022 — Mathematics Algebra
If the system of linear equations
x+2y−3z=1
(2p+1)y+z=2
3x+3z=5
has a unique solution, then p can not be equal to
Held on 6 Aug 2022 · Verified 13 Jul 2026.
23
−43
−34
32
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