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Give an example of each if possible, if not possible tell why. 1) A set of...

Give an example of each if possible, if not possible tell why.

1) A set of non-zero vectors in R4 that span R4 but are not linearly independent

2) A linear transformation T: R3 -> R3 that is one to one but NOT onto

3) A Linear transformation T: R3 -> R4 that is one to one

4) A Linear transformation T: R4 -> R3 that is onto

5) A Linear transformation T: R3 -> R4 that is onto

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