Consider the system of linear equations -x+y+2 z=0 3 x-a y+5 z=1 2 x-2 y-a z=7 Let \S_{1} be the set of all a \\in \R for which the system is inconsistent and \S_{2} be the set of all a \\in \R for which the system hasinfinitely many solutions. If n(\S_{1}) and n(\S_{2}) denote the number of elements in \S_{1} and \S_{2} respectively, then [1 Sep 2021 Shift 2]

Correct Answer is : n(S1)=2 and n(S2)=0

Matrices and Determinants Part 2

Section: Mathematics

Question : 26 of 100

Marks: +1, -0

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 hasinfinitely many solutions. If n(S1) and n(S2) denote the number of elements in S1 and S2 respectively, then

[1 Sep 2021 Shift 2]

n(S1)=2 and n(S2)=2
n(S1)=1 and n(S2)=0
n(S1)=2 and n(S2)=0
n(S1)=0 and n(S2)=2

Validate

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