(2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³. %3D (a) Is a, in Span(a,)? (b) Which of bị, b2 is in Span(a, a2)? (c) Write each b; in Span(a1, a2) as a linear combination of a1, a2.
(2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³. %3D (a) Is a, in Span(a,)? (b) Which of bị, b2 is in Span(a, a2)? (c) Write each b; in Span(a1, a2) as a linear combination of a1, a2.
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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Question
![(2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³.
%3D
(a) Is a, in Span(a,)?
(b) Which of bị, b2 is in Span(a, a2)?
(c) Write each b; in Span(a1, a2) as a linear combination of a1, a2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc77d576e-0319-4636-bc5a-173808e3c84b%2Ff8032679-6bf7-4f96-9860-1cb22c0d965e%2Fukhk7dn_processed.png&w=3840&q=75)
Transcribed Image Text:(2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³.
%3D
(a) Is a, in Span(a,)?
(b) Which of bị, b2 is in Span(a, a2)?
(c) Write each b; in Span(a1, a2) as a linear combination of a1, a2.
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