Decide if the two subspaces U = span(U) and V = span(V) spanned by the two subsets and of vectors in R2 below are (1) orthogonal to one another and (2) orthogonal complements of one another with respect to R². Answer by entering 'true' or 'false'. ~-{[G]} *-{[13]} = = = Orthogonal? = {[³]} V = Orthogonal? = {[_!]} V = Orthogonal? V = ` = {[:]} Orthogonal? V = {[]} Orthogonal? V = V = V V Orthogonal Complements? {[!]} Orthogonal Complements? = {[-2]} Orthogonal Complements? - {[²]} Orthogonal Complements? = {[_4]} Orthogonal Complements?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Decide if the two subspaces U = span(U) and V = span(V) spanned by the two subsets and of vectors in R² below are (1) orthogonal to one another and (2) orthogonal
complements of one another with respect to R2. Answer by entering 'true' or 'false'.
= {[]} = {[3]}
V
V =
Orthogonal?
V =
Orthogonal?
{[:]}
V =
Orthogonal?
V =
= {[_]} ² = {[-2]}
V =
{[]}
Orthogonal Complements?
{[]}
V =
Orthogonal Complements?
Orthogonal Complements?
{[²4]}
Orthogonal?
*- {[:]) * -{[L]}
V =
=
Orthogonal?
Orthogonal Complements?
Orthogonal Complements?
Transcribed Image Text:Decide if the two subspaces U = span(U) and V = span(V) spanned by the two subsets and of vectors in R² below are (1) orthogonal to one another and (2) orthogonal complements of one another with respect to R2. Answer by entering 'true' or 'false'. = {[]} = {[3]} V V = Orthogonal? V = Orthogonal? {[:]} V = Orthogonal? V = = {[_]} ² = {[-2]} V = {[]} Orthogonal Complements? {[]} V = Orthogonal Complements? Orthogonal Complements? {[²4]} Orthogonal? *- {[:]) * -{[L]} V = = Orthogonal? Orthogonal Complements? Orthogonal Complements?
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