Determine whether or not the first vector is in the span of the others. If so, write it as a linear combination of the others. (a) (b) in M2x2(C). u = (2, 10, 7, 0) and u₁ 1 4 = (₁ 1) and A Justify your answers. (3, 10, 7, 0), u₂ = (1, 3, —2, 0), µ3 = (2, 8, 1, 0), in Rª. i ² = ( ₁² )) B ¦1) ₁ C = ( ¦ ¦√), D = (¦ ¦ )
Determine whether or not the first vector is in the span of the others. If so, write it as a linear combination of the others. (a) (b) in M2x2(C). u = (2, 10, 7, 0) and u₁ 1 4 = (₁ 1) and A Justify your answers. (3, 10, 7, 0), u₂ = (1, 3, —2, 0), µ3 = (2, 8, 1, 0), in Rª. i ² = ( ₁² )) B ¦1) ₁ C = ( ¦ ¦√), D = (¦ ¦ )
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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L 11

Transcribed Image Text:Determine whether or not the first vector is in the span of the others. If so, write it as a linear combination
of the others.
(a)
(b)
in M2x2(C).
u = (2, 10, 7, 0) and u₁ = (3, 10, 7, 0), u₂ = (1, 3, -2, 0), u3 = (2, 8, 1, 0), in Rª.
4 = (₁1) and
A
Justify your answers.
i
B = ( ₁ )) ₁ C = (₂) ₁ D = (11)
(' G
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