Consider the vector space V = P3 with F = R (see Ex. 2 of Chapter 1). Find a subset of {x +1, x – 2, 3, x – 4, 2x + 1, a? + x + 1, x? + 2, x? – 1} that is both spanning and linearly independent in V. You have to justify why your choice is indeed a spanning and linearly independent.
Consider the vector space V = P3 with F = R (see Ex. 2 of Chapter 1). Find a subset of {x +1, x – 2, 3, x – 4, 2x + 1, a? + x + 1, x? + 2, x? – 1} that is both spanning and linearly independent in V. You have to justify why your choice is indeed a spanning and linearly independent.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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