The number of values of α for which the system of equations: x + y + z = α α x + 2 α y + 3z = - 1 x + 3 α y + 5z = 4 is inconsistent, is

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q4610

JEE Main 202224 Jun, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

The number of values of

\alpha

for which the system of equations : x + y + z =

\alpha

\alpha

x + 2

\alpha

y + 3z =

-

1 x + 3

\alpha

y + 5z = 4 is inconsistent, is