Linear Algebra help!!
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Linear Algebra help!!

[From: ] [author: ] [Date: 11-09-27] [Hit: ]
Hence, the vector is not in the span.......
So the question asks,

Let A=
[5 8 7]
[0 1 -1]
[1 3 0]

and let vector u=
[2]
[-3]
[2]

Is vector u, in the span of the columns of A?

I'm hopelessly lost here, I have no idea what to do, an answer would be very much appreciated but even more so would be the steps to find it. Thanks

-
7
-1
0 is in the spanning set of 5 8
0 1
1 3.
Then we add 5a+8b=2
b = -3. If 2,-3,2 is in the span, then the third component would evaluate to a+3b=2.
b = -3 => a = 26/5. Then a+3b = 26/5-9 = -19/5 =/= 2.
Hence, the vector is not in the span.
1
keywords: Linear,help,Algebra,Linear Algebra help!!
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