Please solve and show all work using Linear Algebra. 1919Let u [] and [] []=v=Show that-1is in Span {u, v} for all x and c.How can it be shown that a vector b is in Span {u, v}?O A. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span (u, v).O B. Determine if the system containing u, v. and b is consistent. If the system is consistent, then bis in Span (u, v}.O C. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is not in Span (u, v).O D. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in Span (u, v}.

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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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Please solve and show all work using Linear Algebra.

19
19
Let u [] and [] []
=
v=
Show that
-1
is in Span {u, v} for all x and c.
How can it be shown that a vector b is in Span {u, v}?
O A. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span (u, v).
O B. Determine if the system containing u, v. and b is consistent. If the system is consistent, then bis in Span (u, v}.
O C. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is not in Span (u, v).
O D. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in Span (u, v}.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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