2. Let S = span{V₁, V2, V3}. Check whether the vector u € St. (a) v₁ = [1, 0, 0, 0], v2 = [0, 3, 0, 0], v3 = [5, 2, 1, 0], and u = [0, 0, 0, 1]. (b) v₁ = [1, -2, 3, 1], v₂ = [2, 0, 3, 5], V3 = [0, 1, 2, 5], and u = [0, 1, 3, 0]. (c) v₁ = [3, 4, 1, 7], V2 = [1, 0, 3, 1], V3 = [−1, 2, −1, 1], and u = [−1, −1, 0, 1].
2. Let S = span{V₁, V2, V3}. Check whether the vector u € St. (a) v₁ = [1, 0, 0, 0], v2 = [0, 3, 0, 0], v3 = [5, 2, 1, 0], and u = [0, 0, 0, 1]. (b) v₁ = [1, -2, 3, 1], v₂ = [2, 0, 3, 5], V3 = [0, 1, 2, 5], and u = [0, 1, 3, 0]. (c) v₁ = [3, 4, 1, 7], V2 = [1, 0, 3, 1], V3 = [−1, 2, −1, 1], and u = [−1, −1, 0, 1].
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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![2. Let S = span{V₁, V2, V3}. Check whether the vector u € St.
(a) v₁ = [1, 0, 0, 0], v2 = [0, 3, 0, 0], v3 = [5, 2, 1, 0], and u = [0, 0, 0, 1].
(b) v₁ = [1, -2, 3, 1], v₂ = [2, 0, 3, 5], V3 = [0, 1, 2, 5], and u = [0, 1, 3, 0].
(c) v₁ = [3, 4, 1, 7], V2 = [1, 0, 3, 1], V3 = [−1, 2, −1, 1], and u = [−1, −1, 0, 1].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ff5cc5-ffa0-4d62-80cc-4b5d73842eb0%2Fae38b819-d34f-4489-8193-789e5ddeedd5%2Fpxejngs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let S = span{V₁, V2, V3}. Check whether the vector u € St.
(a) v₁ = [1, 0, 0, 0], v2 = [0, 3, 0, 0], v3 = [5, 2, 1, 0], and u = [0, 0, 0, 1].
(b) v₁ = [1, -2, 3, 1], v₂ = [2, 0, 3, 5], V3 = [0, 1, 2, 5], and u = [0, 1, 3, 0].
(c) v₁ = [3, 4, 1, 7], V2 = [1, 0, 3, 1], V3 = [−1, 2, −1, 1], and u = [−1, −1, 0, 1].
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