For what value of α, the system of equation: x + y + z = 0, x – y + z = 0 and 2x + 3y + αz = 0 has infinitely many solut
In easy words, for homogeneous infinite solutions det must be zero. Det=1(-α-3)-1(α-2)+1(3+2)=-2α+4=0, so α=2. Solved completely.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
