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Suppose that F is a linear transformation such that F(1,0,0)=(-1,5,1), F(0,1,0)=(-2,10,2), F(0,0,1)=(-4,20,4). find the basis for the kernel of F ?

Suppose that F is a linear transformation such that

F(1,0,0)=(-1,5,1),

F(0,1,0)=(-2,10,2),

F(0,0,1)=(-4,20,4).

find the basis for the kernel ofF?

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