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

The values of λ for which the system of equations
(λ+5)x+(λ4)y+z=0
(λ2)x+(λ+3)y+z=0
λx+λy+z=0
has a non-trivial solution is (are)

A
1,2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0,1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D none of these
Given:

(λ+5)x+(λ4)y+z=0
(λ2)x+(λ+3)y+z=0
λx+λy+z=0

Let Δ=∣ ∣λ+5λ41λ2λ+31λλ1∣ ∣
Applying R1R1R3,R2R2R3
Δ=∣ ∣540230λλ1∣ ∣
Expanding along C3
Δ=158=70

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Algebraic Expressions and Identities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon