Let A = 10-2 0 44 and b = -28 2 5 12. Denote the columns of A by a₁, a2, a3, and let W = Span (a₁, a2, 43}. - 10 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. O A. Yes, b is in (a₁, a2, a3} since b=a (Type a whole number.) OB. No, b is not in (a₁, a2, a3) since b is not equal to a₁, a2, or a3. 1 OD OC. Yes, bis in (a₁, a2, a3} since, although b is not equal to a₁, a2, or a3. i (Simplify your answers.) + it can be expressed as a linear combination of them. In particular, b = a₁
Let A = 10-2 0 44 and b = -28 2 5 12. Denote the columns of A by a₁, a2, a3, and let W = Span (a₁, a2, 43}. - 10 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. O A. Yes, b is in (a₁, a2, a3} since b=a (Type a whole number.) OB. No, b is not in (a₁, a2, a3) since b is not equal to a₁, a2, or a3. 1 OD OC. Yes, bis in (a₁, a2, a3} since, although b is not equal to a₁, a2, or a3. i (Simplify your answers.) + it can be expressed as a linear combination of them. In particular, b = a₁
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let A =
10-2
04-4 and b =
-28 2
12 Denote the columns of A by a₁, a2, a3, and let W= Span (a₁, a2, a3}.
10
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.]
O A.
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.
Yes, b is in (a₁, a2, a3) since b=a
(Type a whole number.)
O B. No, b is not in (a₁, a2, a3) since b is not equal to a₁, a2, or a3-
C
O 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 + (a3.
(Simplify your answers.)
O D. No, b is not in (a₁, a2, a3} since it cannot be generated by a linear combination of a₁, a2, and a3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95ac1400-18fa-42f2-b14c-acf34ce9de79%2F59938a70-e1e8-40ef-acc9-84e072ead3cb%2F6a2ywq9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A =
10-2
04-4 and b =
-28 2
12 Denote the columns of A by a₁, a2, a3, and let W= Span (a₁, a2, a3}.
10
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.]
O A.
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.
Yes, b is in (a₁, a2, a3) since b=a
(Type a whole number.)
O B. No, b is not in (a₁, a2, a3) since b is not equal to a₁, a2, or a3-
C
O 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 + (a3.
(Simplify your answers.)
O D. No, b is not in (a₁, a2, a3} since it cannot be generated by a linear combination of a₁, a2, and a3.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
