-{()Show that W =:71 + 22 + x3 = 0} is a subspace of R3. Hint : Re-3.I3member,it's not enough to just show that adding vectors gives another vector with three entries. Youhave to show that the result has r1+ x2 + 13 = 0. Similarly for when you scale.

According to the given information, It is required to show that W is a subspace of R3.

Answered: -{() Show that W = :71 + 22 + x3 = 0}…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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-{() Show that W = :71 + 22 + x3 = 0} is a subspace of R3. Hint : Re- 3. I3 member, it's not enough to just show that adding vectors gives another vector with three entries. You have to show that the result has r1+ x2 + 13 = 0. Similarly for when you scale.