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2. Let T= , so Span (T) is a subspace of R. Let XY be the xy-plane in R', so XY = yx.yER. Finally, let W = Span(T)N XY. a. Find a nonzero element of W, if possible. b. Is W a subspace of R'? Why? c. Describe W geometrically. 4. 2.

2. Let T= , so Span (T) is a subspace of R. Let XY be the xy-plane in R', so XY = yx.yER. Finally, let W = Span(T)N XY. a. Find a nonzero element of W, if possible. b. Is W a subspace of R'? Why? c. Describe W geometrically. 4. 2.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
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2. Let T = {|-2. 4 so Span (T) is a subspace of R*. Let XY be the xy-plane in R³, so 3 XY . y x,yE R}. Finally, let W = Span(T)N XY. a. Find a nonzero element of W, if possible. b. Is W a subspace of R ? Why? c. Describe W geometrically.
Transcribed Image Text:2. Let T = {|-2. 4 so Span (T) is a subspace of R*. Let XY be the xy-plane in R³, so 3 XY . y x,yE R}. Finally, let W = Span(T)N XY. a. Find a nonzero element of W, if possible. b. Is W a subspace of R ? Why? c. Describe W geometrically.
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