How can you tell if vectors are in the span
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How can you tell if vectors are in the span

[From: ] [author: ] [Date: 11-11-17] [Hit: ]
Which vectors are in the spanning set?Which onesare you trying to determine if they are in which spanning set?......
Are these vectors in the span:

R2=span(0 0),( −8 −5), (−8 9)

R3=span (−6 0 18),( −1 4 2), (−6 8 16), (1 4 −4)

R3=span (2 4 −8), ( −1 −5 −4),( 9 −7 5)

R3=span (−4 −8 −9),( −5 1 −6)

R2=span−(8 9), ( 4 −4)

Can someone tell me if these are in their spans or not?

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A vector y is in the span of a set of vectors if y can be written as a linear combination of the vectors in the spanning set.

Make a matrix A where the columns of A are the vectors from the spanning set.
Then solve the equation Ax = y. If there is a solution then y is in the span. If there is no solution then it isn't in the span.

The proper way to write spans is by using set notation

For example:
span{ (0,1) , (1,0) }

I can't help you any further than that. The question details you gave aren't clear at all. Which vectors are in the spanning set? Which ones are you trying to determine if they are in which spanning set?
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