Problem 14. Determine if the statements are true or false. ? ? 1. If the set of vectors U spans a subspace S, then vectors can be added to U to create a basis for S 2. The zero vector is a basis for the zero subspace. 3. The matrix representation of a linear transformation from R¹ to R³ is 3 x 4 4. If S=span{u), u₂, us}, then dim(S) = 3
Problem 14. Determine if the statements are true or false. ? ? 1. If the set of vectors U spans a subspace S, then vectors can be added to U to create a basis for S 2. The zero vector is a basis for the zero subspace. 3. The matrix representation of a linear transformation from R¹ to R³ is 3 x 4 4. If S=span{u), u₂, us}, then dim(S) = 3
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 7AEXP
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