The linear system , , , has no solution for ________ (in integer).
1 markMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 2 min
IIT JAM 2024 Question 47: Matrices, determinants and linear systems
Answer and worked solution
Checking your account…
Plain-text version
The linear system x + y = 3, x + (k² - 8)y = k, k ∈ R, has no solution for k = (in integer).
Also written as: The linear system x + y = 3, x + (k^2 - 8)y = k, k in R, has no solution for k = (in integer).
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
What this question tests
This question is on Consistency, rank and solution spaces, part of Matrices, determinants and linear systems in Mathematics.
Whether a system has no solution, one or many, and the shape of its solution set.
TestStop has 20 past-paper questions on this subtopic; the nearest in year are below.
Similar questions from other papers
- Given the matrices, A and B as A=[1 2; -2 4], B=[3 -2; 5 0]. What will be AB?
- A is an (n × n) matrix. Consider the following two statements Statement 1: Columns of matrix A are linearly independent Statement 2: Inverse of matrix A exists Which…
- A 2×2 matrix Z=[Z₁ Z₂; Z₃ Z₄] has the properties: (i) Zᵢ∈ℝ for all i; (ii) Zᵢ≠ 0 for some i; and (iii) Z=Z²=Z³=⋯. Which one of the following options is CORRECT?
- Given A = [1 3; 2 8; 4 0] and B = [5; 9]; then A × B will be:
- If A and B are symmetric matrices of the same order, which one of the following is not correct?
Question from the IIT JAM 2024 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.