Please solve using Linear Algebra, and show all work. Row reduce the augmented matrix to its reduced echelon form.
Transcribed Image Text:4
Letu =[-] and [1]
v=
1
Let b =
How can it be shown that a vector b is in Span (u, v)?
a
[:]
Show that
A. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is in Span {u, v}.
B. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span {u, v}.
C. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in Span (u, v}.
D. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is not in Span (u, v).
44 a
1 y
a
is in Span (u, v) for all a and y.
44 a
-1 1 y
Find the augmented matrix u v b
x[u v b b].
How is a system determined as consistent?
OA. Solve for the variables after setting the equations equal to 0.
B. A system is consistent if there is one solution or infinitely many solutions.
OC. A system is consistent only if all of the variables equal each other.
OD. A system is consistent if there are no solutions.
Row reduce the augmented matrix to its reduced echelon form.
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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Letu =[-] and [1]
v=
1
Let b =
How can it be shown that a vector b is in Span (u, v)?
a
[:]
Show that
A. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is in Span {u, v}.
B. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span {u, v}.
C. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in Span (u, v}.
D. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is not in Span (u, v).
44 a
1 y
a
is in Span (u, v) for all a and y.
44 a
-1 1 y
Find the augmented matrix u v b
x[u v b b].
How is a system determined as consistent?
OA. Solve for the variables after setting the equations equal to 0.
B. A system is consistent if there is one solution or infinitely many solutions.
OC. A system is consistent only if all of the variables equal each other.
OD. A system is consistent if there are no solutions.
Row reduce the augmented matrix to its reduced echelon form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dbff557-c987-45fc-8dd6-6084416c9157%2F22144fd3-3772-4bb3-9f00-548b9c33dc1e%2F4q8iz1m_processed.jpeg&w=3840&q=75)
