Let B = {v1, V2, V3, V4} be an ordered basis for a vector space V. Let Vị = span{V1, V2} and 1 0 1 1 1 0 1 V2 = span{v3, v4} . If MB(T) , prove that T(V1)NT(V2) = {0} . Note: 1 1 0 0 0 1 T(V1) = {T(x) : x € Vị} and T(V2) = {T(x) : x e V2} .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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= {v1, V2, V3, v4} be an ordered basis for a vector space V. Let Vị = span{v1, v2} and
1 0 1 1
Let B
1
1
V2 = span{v3, v4} . If MB(T)
prove that T(V1) nT(V2) = {0} . Note:
1
1
0 0 0 1
T(V1) = {T(x) : x € V1} and T(V2) = {T(x) : x € V2} .
Transcribed Image Text:= {v1, V2, V3, v4} be an ordered basis for a vector space V. Let Vị = span{v1, v2} and 1 0 1 1 Let B 1 1 V2 = span{v3, v4} . If MB(T) prove that T(V1) nT(V2) = {0} . Note: 1 1 0 0 0 1 T(V1) = {T(x) : x € V1} and T(V2) = {T(x) : x € V2} .
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