wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let the system of linear equations
4x+λy+2z=0
2xy+z=0
μ+2y+3z=0,λ,μR
has a non-trivial solution. Then which of the following is true?

A
μ=6,λR
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
λ=2,μR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
λ=3,μR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
μ=6,λR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A μ=6,λR
For non-trivial solution
Δ=0∣ ∣4λ2211μ23∣ ∣=04(5)λ(6μ)+2(4+μ)=0126λ+λμ+2μ=06(λ+2)+μ(λ+2)=0(λ+2)(μ6)=0λ=2 or μ=6
When λ=2, first and second equation becomes same, so
μ=6,λR

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Applications
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon