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  3. let t : rn -> rm be a onto linear transformatio

Let T : Rn -> Rm be a onto linear transformation. Select all the true statements...

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Basic Math

Let T : Rn -> Rm be a onto linear transformation. Selectall the true statements from the following list.
(Incorrect choices will earn you negative points)
For any y in Rm there exists a unique x in Rn such that T(x) =y

For any y in Rm there is at most one x in Rn such that T(x) =y

The range of T is the entire Rm
For any y in Rm there is at least one x in Rn such that T(x) =y
T2, which is T composed with itself (i.e., T2(x) = T(T(x)) )is also an onto linear transformation.
T has an inverse.
T must be one-to-one
The equation T(x) = y in x (i.e.,

Answer & Explanation Solved by verified expert
3.8 Ratings (648 Votes)
For any y in Rm there exists a unique x in Rn such that Tx y False as T is not stated to be onetoone For any y in Rm there    See Answer
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