Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span {u, v}? is in Span {u, v} for all a and k. 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 consistent, b might be in Span {u, v}. 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}. D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span {u, v}. Find the augmented matrix [uv b]
Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span {u, v}? is in Span {u, v} for all a and k. 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 consistent, b might be in Span {u, v}. 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}. D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span {u, v}. Find the augmented matrix [uv b]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
Related questions
Question
100%
SOLVE BOTH PLEASE!!! the cirlced one
![6
+----
and v=
- 1
Let u =
6
Show that
a
k
How can it be shown that a vector b is in Span {u, v}?
Let b =
is in Span {u, v} for all a and k.
A. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is in Span {u, v}.
a
A
B. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in
Span {u, v}.
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}.
D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in
Span {u, v}.
Find the augmented matrix u v b
b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c3522a4-50b1-4726-a83e-d332776e45d2%2F7f6f698b-05d7-4d13-9a0c-e62f8fd1ba86%2Foxxnn2l_processed.png&w=3840&q=75)
Transcribed Image Text:6
+----
and v=
- 1
Let u =
6
Show that
a
k
How can it be shown that a vector b is in Span {u, v}?
Let b =
is in Span {u, v} for all a and k.
A. Determine if the system containing u, v, and b is consistent. If the system is consistent, then b is in Span {u, v}.
a
A
B. Determine if the system containing u, v, and b is consistent. If the system is consistent, b might be in
Span {u, v}.
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}.
D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in
Span {u, v}.
Find the augmented matrix u v b
b].
![Let A =
1 0 -6
03-5
-59 4
and b =
9
-2. Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a2, ª3}.
- 29
a. Is b in {a₁, a₂, a3}? How many vectors are in {a₁, a2, a3}?
b. Is b in W? How many vectors are in W?
c. Show that a2 is in W. [Hint: Row operations are unnecessary.]
a. Is b in {a₁, a₂, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your
choice.
A. No, b is not in (a₁, a2, aç} since b is not equal to a₁, a2, or a3.
B. Yes, b is in (a₁, a2, a3} since b = a
(Type a whole number.)
C. Yes, b is in {a₁, a2, a3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear
combination of them. In particular, b = (a₁ + a₂ + ([ аз.
(Simplify your answers.)
D. No, b is not in {a₁, a2, a3} since it cannot be generated by a linear combination of a₁, №₂, and аз.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c3522a4-50b1-4726-a83e-d332776e45d2%2F7f6f698b-05d7-4d13-9a0c-e62f8fd1ba86%2Fhj92gt_processed.png&w=3840&q=75)
Transcribed Image Text:Let A =
1 0 -6
03-5
-59 4
and b =
9
-2. Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a2, ª3}.
- 29
a. Is b in {a₁, a₂, a3}? How many vectors are in {a₁, a2, a3}?
b. Is b in W? How many vectors are in W?
c. Show that a2 is in W. [Hint: Row operations are unnecessary.]
a. Is b in {a₁, a₂, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your
choice.
A. No, b is not in (a₁, a2, aç} since b is not equal to a₁, a2, or a3.
B. Yes, b is in (a₁, a2, a3} since b = a
(Type a whole number.)
C. Yes, b is in {a₁, a2, a3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear
combination of them. In particular, b = (a₁ + a₂ + ([ аз.
(Simplify your answers.)
D. No, b is not in {a₁, a2, a3} since it cannot be generated by a linear combination of a₁, №₂, and аз.
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