Consider the system of linear equations - x + y + 2z = 0 3x - ay + 5z = 1 2x - 2y - az = 7 Let S₁ be the set of all a R for which the system is inconsistent and S₂ be the set of all a R for which the system has infinitely many solutions. If n(S₁) and n(S₂) denote the number of elements in S₁ and S₂ respectively, then

Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q4601

JEE Main 20211 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Consider the system of linear equations

-

x + y + 2z = 0 3x

-

ay + 5z = 1 2x

-

-

az = 7 Let S₁ be the set of all a

\in

R for which the system is inconsistent and S₂ be the set of all a

\in

R for which the system has infinitely many solutions. If n(S₁) and n(S₂) denote the number of elements in S₁ and S₂ respectively, then

JEE Main 2021 Matrices and Determinants Question with Solution (1 Sep Evening shift, Q4601) | JEE Arc