Hello previously submitted, however part b of the solution atattched is correct whereas part a was wrong (a) A nonzero(b) A nonzeroYelement X in2-7-75W iselement Y in V that is[1]not in W is a. Find a nonzero element X in W.X=Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace0 -31W-span{ [2, 3] [44]=-3 0=Yb. Find an element Y in V that is not in W.

Given information: is the vector space of symmetric matrices. is a subspace of defined as .To…

Answered: a. Find a nonzero element X in W. X Let…

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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a. Find a nonzero element X in W. X Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W = span{ 3],[4 }. 0 b. Find an element Y in V that is not in W. Y 0 -3 -3