The set of all polynomials of degree 6 under the standard addition and scalar multiplicatior operations is not a vector because * space O We can find two polynomials P(x) and Q(x) for which P(x)·Q(x)#Q(x)·P(x) O It is not closed under addition. We can find a polynomial P(x)such that (c+d)P(x)#cP(x)+dP(x). We can find a polynomial P(x) for which 1-P(x)#P(x)

The set of all polynomials of degree 6 under the standard addition and scalar multiplicatior operations is not a vector because * space O We can find two polynomials P(x) and Q(x) for which P(x)·Q(x)#Q(x)·P(x) O It is not closed under addition. We can find a polynomial P(x)such that (c+d)P(x)#cP(x)+dP(x). We can find a polynomial P(x) for which 1-P(x)#P(x)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...

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