can you please help me with this problem I am a bit confused.If you could show me the steps it would be really helpful thank you.
linear algebra | Flickr - Photo Sharing!
can you please help me with this problem I am a bit confused.If you could show me the steps it would be really helpful thank you.
linear algebra | Flickr - Photo Sharing!
step one: convert all the matrices in S into vectors in R^{4}.
this turns S into span({(1,1,0,0),(2,2,0,0),(0,1,0,0),(1,2,0,0),(15, 1,0)}
it should be obvious we can eliminate (2,2,0,0) from this set without fear, since it's just 2(1,1,0,0).
also note that (1,2,0,0) = (1,1,0,0) + (0,1,0,0), so we don't need (1,2,0,0), either (it's a linear combination of the first two vectors).
that leaves just 3 vectors left (1,1,0,0), (0,1,0,0) and (1,5,1,0). is this a linearly independent set?