Q. The set of equations
𝑥 + 𝑦 + 𝑧 = 1
𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5
5𝑥 − 3𝑦 + 𝑎𝑧 = 6
has infinite solutions, if a =
| (A) −3 | (B) 3 | (C) 4 | (D) −4 |
Sol:
ρ(A)=ρ(AB)< no.of variables
|A|=0
The set of equations 𝑥 + 𝑦 + 𝑧 = 1 𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5
Q. The set of equations
𝑥 + 𝑦 + 𝑧 = 1
𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5
5𝑥 − 3𝑦 + 𝑎𝑧 = 6
has infinite solutions, if a =
| (A) −3 | (B) 3 | (C) 4 | (D) −4 |
Sol:
ρ(A)=ρ(AB)< no.of variables
|A|=0
