Let v₁ = 6 -6 36 3 p= -1 24 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? O A. and A= A = [ v₁ O A. (Type a whole number.) OB. There are infinitely many vectors in Col A. c. Is p in Col A? Why or why not? 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. V₁ V2 V3 V3 ]- QA. (Type a whole number.) OB. There are infinitely many vectors in (V₁, V2, V3}. 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 not in Col A because the system [A p] is not consistent. OB. p is not in Col A because A has too few pivot positions. O C. p is in Col A because the system [A p] is consistent. OD. p is in Col A because A has pivot positions in every row.

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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Let V₁
A.
1
= - 3
0
V₂
A.
=
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?
0
O A.
3
6
6
36
C.
p=
3
- 1
24
(Type a whole number.)
B. There are infinitely many vectors in {V₁, V2, V3}.
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.)
B. There are infinitely many vectors in Col A.
c. Is p in Col A? Why or why not?
and A =
[₁
b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice.
V₁ V2 V3
V3 ].
p is not in Col A because the system [A p] is not consistent.
OB. p is not in Col A because A has too few pivot positions.
р
is in Col A because the system [A p] is consistent.
O D. p is in Col A because A has pivot positions in every row.
Transcribed Image Text:Let V₁ A. 1 = - 3 0 V₂ A. = 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? 0 O A. 3 6 6 36 C. p= 3 - 1 24 (Type a whole number.) B. There are infinitely many vectors in {V₁, V2, V3}. 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.) B. There are infinitely many vectors in Col A. c. Is p in Col A? Why or why not? and A = [₁ b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice. V₁ V2 V3 V3 ]. p is not in Col A because the system [A p] is not consistent. OB. p is not in Col A because A has too few pivot positions. р is in Col A because the system [A p] is consistent. O D. p is in Col A because A has pivot positions in every row.
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