For what values of k does this system have infinite solutions :
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0 marksMathematicsMatrices, determinants and linear systemsConsistency, rank and solution spacesModerateabout 2 min
JNU SIS 2020 Question 5: Matrices, determinants and linear systems
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For what values of k does this system have infinite solutions: x + 2z = 0 x + 3y + 10z = 0 6y + k² z = 0 (A) k = 4 or k = -4 (B) k = -4 or k = 0 (C) k = 16 or k = - 16 (D) k = 4 or k = 0
Also written as: For what values of k does this system have infinite solutions: x + 2z = 0 x + 3y + 10z = 0 6y + k^2 z = 0
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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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