Is the following map linear? a) F(x1,x2,x3)=(0,0) b) L:R2→R2 defined by L(x1,x2)=(3x1−2x2,x2) c) f:R→R defined by f(x)=2x

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Is the following map linear?

a) F(x1,x2,x3)=(0,0)

b) L:R2→R2 defined by L(x1,x2)=(3x1−2x2,x2)

c) f:R→R defined by f(x)=2x

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