Δ=∣λ2λ423λ256∣=λ(18−5λ)−2(12λ−20)+2(2λ2−12)=−λ2−6λ+16=(λ+8)(2−λ)
Δ=0 for λ=2,
Δ1=∣5810232256∣
Δ1=5[18−10]−2[48−50]+2[16−30]
Δ1=40+4−28=0
No solution for λ=2.
The system of linear equations
λx+2y+2z=5
2λx+3y+5z=8
4x+λy+6z=10 has
Held on 8 Jan 2020 · Verified 6 Jul 2026.
no solution when λ=8
a unique solution when λ=−8
no solution when λ=2
infinitely many solutions when λ=2
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