If has non zero solution

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If x+y−z=0,  3x−αy−3z=0,  x−3y+z=0x + y - z = 0,\; 3x - \alpha y - 3z = 0,\; x - 3y + z = 0 has non zero solution, then α=\alpha = (a) -1 (b) 0 (c) 1 (d) -3

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