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anonymous
 5 years ago
Let S = {v1, v2, v3, v4} be a set of four vectors in R3, and let T: R3 > R4 be a linear transformation?
T or F: S cannot be linearly independent in R3
T or F: S must span R3
T or F: It must be possible to write v4 as a linear combination of {v1, v2, v3}
T or F: T must be a onetoone function.
I figured out the other true or false ones, but I haven't been able to get these ones yet. Any help? Thanks!
anonymous
 5 years ago
Let S = {v1, v2, v3, v4} be a set of four vectors in R3, and let T: R3 > R4 be a linear transformation? T or F: S cannot be linearly independent in R3 T or F: S must span R3 T or F: It must be possible to write v4 as a linear combination of {v1, v2, v3} T or F: T must be a onetoone function. I figured out the other true or false ones, but I haven't been able to get these ones yet. Any help? Thanks!

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