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  3. determine which of these sets spans r^3 q) (1,0,1)

Determine which of these sets spans R^3 q) (1,0,1) , (3,1,0), (-1,0,0),(2,1,5) x) (2,1,2) , (1,1,1), (-3,0,-3) y)...

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Question

Basic Math

Determine which of these sets spans R^3

q) (1,0,1) , (3,1,0), (-1,0,0),(2,1,5)

x) (2,1,2) , (1,1,1), (-3,0,-3)

y) (-1,2,1),(4,1,-3),(-6,3,5)

z) (1,0,0),(0,2,0),(1,2,0),(0,-1,1)

a) only q

b)q and x

c) q and z

d) only z

Answer & Explanation Solved by verified expert
4.5 Ratings (931 Votes)
we just need to verify that the linear combinations of thevectors should span whole of r3In other words the system Ax b should have solutions for    See Answer
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