There are 3 parts.Consider the subspaeU = { (x;y;Z;W)E R* : x + y- 22 = 0and z+W=03c AR".a) Find two vectorsWit Wz E PR4 such that span (W, We)=U.b) Show that the two vectors from part la)L.I.arec) Complete theL. I. set { wi, We} tobea basis of R°.

Answered: Image /qna-images/answer/dc80cc6e-4b09-4a2d-8539-78a93f46eac6.jpg

There are 3 parts. Consider the subspae U= { (x}y;Z;W)E R* : x+ y-2z= o and z+W= 03s IR". a) Find two vectors WH Wz E PR4 such that span (Wi, We)=U. b) Show that the two vectors from part la) L.I. are c) Complete the L. I. set { Wi,Wz} to be a basis of R*.

There are 3 parts. Consider the subspae U= { (x}y;Z;W)E R* : x+ y-2z= o and z+W= 03s IR". a) Find two vectors WH Wz E PR4 such that span (Wi, We)=U. b) Show that the two vectors from part la) L.I. are c) Complete the L. I. set { Wi,Wz} to be a basis 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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Question

There are 3 parts.
Consider the subspae
U = { (x;y;Z;W)E R* : x + y- 22 = 0
and z+W=03c AR".
a) Find two vectors
Wit Wz E PR4 such that span (W, We)=U.
b) Show that the two vectors from part la)
L.I.
are
c) Complete the
L. I. set { wi, We} to
be
a basis of R°.

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