For each problem, give an example of a set of vectors in R4 that meet criteria and briefly justify your answers. Give different examples than your classmates. 1. Linearly independent and spans all of R¹. 2. Linearly independent but does not span all of Rª. 3. Linearly dependent and spans all of R¹. 4. Linearly dependent and does not span all of R4.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For each problem, give an example of a set of vectors in R4 that meet criteria and briefly justify your
answers. Give different examples than your classmates.
1. Linearly independent and spans all of R¹.
2. Linearly independent but does not span all of R4.
3. Linearly dependent and spans all of R¹.
4. Linearly dependent and does not span all of R4.
Transcribed Image Text:For each problem, give an example of a set of vectors in R4 that meet criteria and briefly justify your answers. Give different examples than your classmates. 1. Linearly independent and spans all of R¹. 2. Linearly independent but does not span all of R4. 3. Linearly dependent and spans all of R¹. 4. Linearly dependent and does not span all of R4.
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