Consider matrix A = [[k, 2k], [k²−k, k²]] and vector x = [x₁, x₂]ᵀ. The number…

GATE · 2018 · EC · Electronics and Communication Engineering

Consider matrix A = [[k, 2k], [k²−k, k²]] and vector x = [x₁, x₂]ᵀ. The number of distinct real values of k for which the equation Ax = 0 has infinitely many solutions is _________.

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