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ow that if (V, O, •) is a vector space then: = 0 for every u in V. (Use the definition of the zero element of V) •u=-u for every u in V , where -u is the negative element of u . t (a) and the definition of the negative element ofu )

ow that if (V, O, •) is a vector space then: = 0 for every u in V. (Use the definition of the zero element of V) •u=-u for every u in V , where -u is the negative element of u . t (a) and the definition of the negative element ofu )

Linear Algebra: A Modern Introduction
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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5. Show that if (V, O, •)is a vector space then: (a) 0•u=0 for every u in V. (Use the definition of the zero element of V ) (b) (–1) • u =-u for every u in V , where –u is the negative element of u . (Use part (a) and the definition of the negative element ofu)
Transcribed Image Text:5. Show that if (V, O, •)is a vector space then: (a) 0•u=0 for every u in V. (Use the definition of the zero element of V ) (b) (–1) • u =-u for every u in V , where –u is the negative element of u . (Use part (a) and the definition of the negative element ofu)
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