Let W be the set of all vectors in R³ of the form 3 a a 0 where a is any real number. Then: Select one: None of them O W is closed under addition, and W is closed under scalar multiplication, and W is a subspace of R³. W is closed under addition, and W is not closed under scalar multiplication, and Wis not a subspace of R³. W is not closed under addition, and W is not closed under scalar multiplication, and Wis not a subspace of R³. W is not closed under addition, and Wis closed under scalar multiplication, and Wis not a subspace of R³.
Let W be the set of all vectors in R³ of the form 3 a a 0 where a is any real number. Then: Select one: None of them O W is closed under addition, and W is closed under scalar multiplication, and W is a subspace of R³. W is closed under addition, and W is not closed under scalar multiplication, and Wis not a subspace of R³. W is not closed under addition, and W is not closed under scalar multiplication, and Wis not a subspace of R³. W is not closed under addition, and Wis closed under scalar multiplication, and Wis not a subspace of R³.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 4AEXP
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