3s + 2t 41 Let W be the set of all vectors of the form Show that Wis a subspace of R by finding vectors u and v such that W=Span(u.v) 2s-3t 55 Write the vectors in W as column vectors 3s+21 4t = su +tv 25-3t What does this imply about W? OA W=Span(u.v) OB W-Span(s.) O C. W=s+t O D. W=u+v Explain how this result shows that Wis a subspace of R. Choose the comrect answer below. O A Since s and t are in Rand W= Span(u.v). Wwis a subspace of R B. Since u and v are in R and W= Span(u.v). Wis a subspace of R O C. Since u and v are in R and W=u+v. W is a subspace of R O D. Since s and tare in R and Wu+v. Wis a subspace of R

3s + 2t 41 Let W be the set of all vectors of the form Show that Wis a subspace of R by finding vectors u and v such that W=Span(u.v) 2s-3t 55 Write the vectors in W as column vectors 3s+21 4t = su +tv 25-3t What does this imply about W? OA W=Span(u.v) OB W-Span(s.) O C. W=s+t O D. W=u+v Explain how this result shows that Wis a subspace of R. Choose the comrect answer below. O A Since s and t are in Rand W= Span(u.v). Wwis a subspace of R B. Since u and v are in R and W= Span(u.v). Wis a subspace of R O C. Since u and v are in R and W=u+v. W is a subspace of R O D. Since s and tare in R and Wu+v. Wis a subspace of R

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

3s + 2t
41
Let W be the set of all vectors of the form
Show that Wis a subspace of R by finding vectors u and v such that W= Span(u.v)
25 - 3t
55
Write the vectors in W as column vectors.
3s+21
4t
su + tv
25-3t
5s
What does this imply about W?
O A. W=Span(u.v)
OB. W-Span(s.)
O C. W=s+t
O D. W=u+v
Explain how this result shows that Wis a subspace of R. Choose the correct answer below.
O A Since s and t are in Rand W= Span{u.v). Wis a subspace of R
O B. Since u and v are in R and W= Span{u.v). W is a subspace of R
O C. Since u and v are in R and W=u+v. Wis a subspace of R.
O D. Since s and tare in Rand W-u+v. Wis a subspace of R

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