GATE | Quiz for Sudo GATE 2021 | Question 28

Consider following system of linear equations,

x + y + z = 6
x + 2y + 3z = 10
x + 2y + mz = n

For what value of m and n does the system of equation has Note - This question is multiple select questions (MSQ).

(A)

No solution if m ≠ 3 and n = 10

(B)

Unique solution if m ≠ 3 and n ≠ 10 or m ≠ 3 and n = 10

(C)

Infinite many solution if m = 3 and n =10

(D)

Infinite many solution if m ≠ 3

Answer

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