Let Uj and U2 be vector subspaces of avector space V over the real numbers.Suppose that v1, V2, V3 is a basis for U1 andV4, V5, V6 is a basis for U2. Suppose thatUin U2 = 0. Prove thatB = v1, V2, V3, V4, V5, V6 is a basis forU1 + U2.

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Answered: Let Uj and U2 be vector subspaces of a…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Let Uj and U2 be vector subspaces of a vector space V over the real numbers. Suppose that v1, V2, V3 is a basis for U1 and V4, V5, V6 is a basis for U2. Suppose that UinU2 = 0. Prove that B = = V1, V2, V3, V4, V5, V6 is a basis for U1 + U2.