Let v₁ = O A. 1 -2 V₂ = 0 0 1 4 V3 = OA. 4 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are in Col A? c. Is p in Col A? Why or why not? -6 8 O A. p= 3 - 3 12 a. How many vectors are in {V₁, V₂, V3}? Select the correct choice below and, if necessary, fill in the answer box within your choice. (Type a whole number.) OB. There are infinitely many vectors in {V₁, V2, V3}. and A = A=[V₁ V₂ V3]. (Type a whole number.) B. There are infinitely many vectors in Col A. c. Is p in Col A? Why or why not? b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice. p is in Col A because the system [A p] is consistent. B. p is in Col A because A has pivot positions in every row. p is not in Col A because the system [A p] is not consistent. ……… O D. p is not in Col A because A has too few pivot positions.
Let v₁ = O A. 1 -2 V₂ = 0 0 1 4 V3 = OA. 4 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are in Col A? c. Is p in Col A? Why or why not? -6 8 O A. p= 3 - 3 12 a. How many vectors are in {V₁, V₂, V3}? Select the correct choice below and, if necessary, fill in the answer box within your choice. (Type a whole number.) OB. There are infinitely many vectors in {V₁, V2, V3}. and A = A=[V₁ V₂ V3]. (Type a whole number.) B. There are infinitely many vectors in Col A. c. Is p in Col A? Why or why not? b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice. p is in Col A because the system [A p] is consistent. B. p is in Col A because A has pivot positions in every row. p is not in Col A because the system [A p] is not consistent. ……… O D. p is not in Col A because A has too few pivot positions.
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 FULLY SOLVE AND LABEL THE ANSWER!!!
![Let v₁ =
1
0
V₂=
0
4
O A.
4
8
a. How many vectors are in {V₁, V₂, V3}?
b. How many vectors are in Col A?
c. Is p in Col A? Why or why not?
p=
3
- 3
12
and A = V₁ V₂
A = [ v₁
a. How many vectors are in {V₁, V2, V3}? Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
(Type a whole number.)
B. There are infinitely many vectors in {V₁, V₂, V3}.
O A.
(Type a whole number.)
B. There are infinitely many vectors in Col A.
c. Is p in Col A? Why or why not?
b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice.
p is in Col A because the system [A p] is consistent.
B. p is in Col A because A has pivot positions in every row.
C.
V3 ]
р
is not in Col A because the system [A p] is not consistent.
O D. p is not in Col A because A has too few pivot positions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70fe4f99-9e69-4bef-afe6-80d54e8903ee%2F64d221fe-e682-4784-a58f-dfdbbddcf353%2F9t3di8g_processed.png&w=3840&q=75)
Transcribed Image Text:Let v₁ =
1
0
V₂=
0
4
O A.
4
8
a. How many vectors are in {V₁, V₂, V3}?
b. How many vectors are in Col A?
c. Is p in Col A? Why or why not?
p=
3
- 3
12
and A = V₁ V₂
A = [ v₁
a. How many vectors are in {V₁, V2, V3}? Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
(Type a whole number.)
B. There are infinitely many vectors in {V₁, V₂, V3}.
O A.
(Type a whole number.)
B. There are infinitely many vectors in Col A.
c. Is p in Col A? Why or why not?
b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice.
p is in Col A because the system [A p] is consistent.
B. p is in Col A because A has pivot positions in every row.
C.
V3 ]
р
is not in Col A because the system [A p] is not consistent.
O D. p is not in Col A because A has too few pivot positions.
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