## Related questions with answers

Question

Prove that the given function is a linear transformation. $T: V \rightarrow W$ with $T(\mathbf{v})=\mathbf{0}_{W}$ for all v.

Solution

VerifiedStep 1

1 of 2$T$ is a linear transformation if and only if for two vectors $u,v$ and two scalars $a,b$ following is true:

$T(au+bv)=aT(u)+bT(v)$

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