Let V₁ = 1. V₂ = 0 2 V3 4 -5.p 22 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? 30 and A= A=[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. OA (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 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? OA. p is in Col A because the system [A p p]is is consistent OB. p is not in Col A because the system [A p p]is is not consistent. OC. p is in Col A because A has pivot positions in every row OD. 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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Question
Let V₁ =
1.
V₂ =
0
2
V3
4
-5.p
22
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?
30
and A=
A=[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.
OA
(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
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?
OA. p is in Col A because the system [A p p]is
is consistent
OB. p is not in Col A because the system [A p p]is
is not consistent.
OC. p is in Col A because A has pivot positions in every row
OD. p is not in Col A because A has too few pivot positions.
Transcribed Image Text:Let V₁ = 1. V₂ = 0 2 V3 4 -5.p 22 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? 30 and A= A=[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. OA (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 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? OA. p is in Col A because the system [A p p]is is consistent OB. p is not in Col A because the system [A p p]is is not consistent. OC. p is in Col A because A has pivot positions in every row OD. p is not in Col A because A has too few pivot positions.
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