One solution of the homogeneous linear system
x + 2y + z + 3w = 0
x - y + w = 0
y - z + 2w = 0
is x=-2, y=-1, z=1, and w=1. Explain why x=4, y=2, z=-2, and w=-2 must also be a solution. Do not perform any row operations.
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One solution of the homogeneous linear system
x + 2y + z + 3w = 0
x - y + w = 0
y - z + 2w = 0
is x=-2, y=-1, z=1, and w=1. Explain why x=4, y=2, z=-2, and w=-2 must also be a solution. Do not perform any row operations.
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