3. Solve the following. (a) Show, by inspection, that u1 = (1,0,–2),u2 = (3, 2, –5) and uz (b) Let u = (-3, 15,9) and v = (5,2,–9) do NOT span R3. (1,k,–3). For which values of k will u and v be independent?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Solve the following.
(a) Show, by inspection, that u1 = (1,0,–2), u2 = (3,2,-5) and uz = (5,2,-9) do NOT span R³.
(b) Let u = (-3, 15,9) and v =
(1,k,–3). For which values of k will u and v be independent?
Transcribed Image Text:3. Solve the following. (a) Show, by inspection, that u1 = (1,0,–2), u2 = (3,2,-5) and uz = (5,2,-9) do NOT span R³. (b) Let u = (-3, 15,9) and v = (1,k,–3). For which values of k will u and v be independent?
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