Consider a linear transformation T fromR^n toR^p and some linearly dependent vectors v1, v2, ..., vm inR^n. Are the vectors T(v1), T(v2), ..., T(vm) necessarily linearly dependent? How can you tell?

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- Sep 24th 2009, 01:53 PMnoles2188Linear dependent vectors
Consider a linear transformation T from

**R**^n to**R**^p and some linearly dependent vectors v1, v2, ..., vm in**R**^n. Are the vectors T(v1), T(v2), ..., T(vm) necessarily linearly dependent? How can you tell? - Sep 24th 2009, 05:36 PMJose27