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Find all lambda such that the system of equations -6⋅x+(-10)⋅y+6⋅z= lambda ⋅x, 5⋅x+9⋅y+1⋅z= lambda ⋅y, 0⋅x+0⋅y+5⋅z=...

Find all lambda such that the system of equations -6⋅x+(-10)⋅y+6⋅z= lambda ⋅x, 5⋅x+9⋅y+1⋅z= lambda ⋅y, 0⋅x+0⋅y+5⋅z= lambda ⋅z has a non-zero solution (x,y,z).

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