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Let u, 3 (т, 5, 2), из %3 (0, 1, — 1) and uз 3D (8, —1, т) be vectors in R³. (a) Find for which values of m, S = {u1, u2, U3} forms a basis for R. (b) Let W = Span S =< u1, U2, Uz >. Determine a basis and find dim(W) for each value of m e R.

Let u, 3 (т, 5, 2), из %3 (0, 1, — 1) and uз 3D (8, —1, т) be vectors in R³. (a) Find for which values of m, S = {u1, u2, U3} forms a basis for R. (b) Let W = Span S =< u1, U2, Uz >. Determine a basis and find dim(W) for each value of m e R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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handwrittens solution for part b 

 

Let u, 3 (т, 5, 2), из %3 (0, 1, — 1) and uз 3D (8, —1, т) be vectors in R³. (a) Find for which values of m, S = {u1, u2, U3} forms a basis for R. (b) Let W = Span S =< u1, U2, Uz >. Determine a basis and find dim(W) for each value of m e R.
Transcribed Image Text:Let u, 3 (т, 5, 2), из %3 (0, 1, — 1) and uз 3D (8, —1, т) be vectors in R³. (a) Find for which values of m, S = {u1, u2, U3} forms a basis for R. (b) Let W = Span S =< u1, U2, Uz >. Determine a basis and find dim(W) for each value of m e R.
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