Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Find the dimension of the subspace spanned by the given vectors below.
-4
6.
-5
O 1
O 2
3
O 4
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- -8 Given v = -7 5 find the coordinates for v in the subspace W spanned by -1 4 -3 3 and uz -17 U1 > U2 4 12 Note that u1, uz and uz are orthogonal. V = U1+ u2+ изarrow_forwardLet W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. -0- y = -2 3,4₁ 5 The sum is y = y + z, where y= (Simplify your answers.) -3 -1 is in W and Z= is orthogonal to W.arrow_forwardFind the closest point to y in the subspace W spanned by v1 and v2. y= 5 −1 1 19 , v1= 1 −1 −1 1 , v2= −7 2 0 9 Question content area bottom Part 1 The closest point to y in W is the vector enter your response here. (Simplify your answer.)arrow_forward
- HEHE Determine if y is in the subspace of R* spanned by the columns of A. - 5 18 -6 -8 29 A= 5 -5 y = 6 -9 4 -4 9 -3 -7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. - 5 18 -6 -6- 29 5 y = 4. 6. -9 - 4 9 (Type integers or simplified fractions.) OB. The vector y is not in the subspace spanned by the columns of A.arrow_forward2 Given = 1 6 34 9 8 -7 5 " to in the subspace W spanned by find the closest point 2 -6 目 1 andarrow_forward
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