Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The system of linear equations
x + λ y – z = 0
λ x –y –z = 0
x +y – λ z = 0
has a non-trivial solution for :
Text Solution
Verified by ExpertsThe correct answer is:
C
Sol. 
1( λ + 1) – λ (– λ 2 + 1) – 1 ( λ + 1) = 0
λ + 1 + λ 3 – λ – λ – 1 = 0
λ 3 – λ = 0
Three values
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let A be a 2 × 2 matrix.
Statement-1 : adj(adj
Let a, b, c be such that b(a + c) ≠ 0. If + = 0. Then the value of 'n' is –
The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is
Let A be a 2 × 2 matrix with non-zero entries and let A 2 = I , where I is 2 × 2 identity matrix.
T…
Consider the system of linear equations :
x 1 + 2x 2 + x 3 = 3
2x 1 + 3x 2 + x 3 = 3
3x 1 + 5x 2 + …
Let A and B be two symmetric matrices of order 3.
Statement-1 : A(BA) and (AB)A are symmetric matri…