Let U be the subspace of R' defined by U = {(x1,22, 23, 74, #3) E R³ : #1 = 3x, and z3 = 774} . (a) Find a basis of U. (b) Find a subspace W of R³ such that R' = U ew.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let U be the subspace of R defined by
U = {(x1,x2, x3, X4, x5) E R³ : x1 = 3x2 and x3 = 7x4} .
(a) Find a basis of U.
(b) Find a subspace W of R such that R =U eW.
ull
07:20 PM
2021-05-20
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91 · I •4I• I •8[• I •{
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View W Let U be the subspace of R defined by U = {(x1,x2, x3, X4, x5) E R³ : x1 = 3x2 and x3 = 7x4} . (a) Find a basis of U. (b) Find a subspace W of R such that R =U eW. ull 07:20 PM 2021-05-20 Page: 1 of 1 B I E E E 80% e +) Words: 0 91 · I •4I• I •8[• I •{
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