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Questions › CUET-PG › CUET-PG 2023 Shift 2 › Q57
4 marks, −1Mathematics › Matrices, determinants and linear systems › Consistency, rank and solution spacesModerateabout 2 min

CUET-PG 2023 Shift 2 Question 57: Matrices, determinants and linear systems

Which of the following statements is/are correct in AX = 0 (A) A system of linear equations is homogeneous if each constant to the right of the equality is zero. (B) A system of linear equations has either a trivial solution or infinite number of solutions. (C) A system of homogeneous equations with more than unknowns than equations (m < n) is consistent and has infinite many solutions. (D) In cases where there are solutions other than the trivial solution, the equations are linearly independent. Choose the correct answer from the options given below:

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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.

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  • IIT JAM 2022 · Q47Let the system be α u + w = 0, u + α v = 0, v + α w = 0, where α ∈ ℝ. The system has infinite solutions if α…
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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.