2 -[-] and b = [] -6 3 15. Let A = 1 .Show that the equation Ax=b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution.
2 -[-] and b = [] -6 3 15. Let A = 1 .Show that the equation Ax=b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
15 please
![4:00
12. A = <-3 -I
0
5
13. Let u =
0
8.
4
D=
34
3
d2l.depaul.edu
2
4 and A =
Where is u?
个
spanned by the columns of A? (See the figure.) Why or why
not?
u?
14. Let u = -3 and A =
3-5
-2 6 Is u in the plane R³
1
16. Repeat Exercise 15: A =
•u?
5
0
1 3 0
of R³ spanned by the columns of A? Why or why not?
2-1
[²] and b = [b]
3
Plane spanned by
the columns of A
15. Let A =
Show that the equation
Ax = b
does not have a solution for all possible b, and
describe the set of all b for which Ax=b does have a
solution.
8 7
1 -1 . Is u in the subset
1-3 -4
-3 2 6 ,b= b₂
5 -1 -8
b3
Exercises 17-20 refer to the matrices A and B below. Make
appropriate calculations that justify
your answers and mention an
appropriate theorem.
+
2
:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6147cd51-fae9-4b86-867f-e7a7fe5750a1%2F2f8fbd00-40a7-4f65-a277-2e02954ae811%2Fgr5bk4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4:00
12. A = <-3 -I
0
5
13. Let u =
0
8.
4
D=
34
3
d2l.depaul.edu
2
4 and A =
Where is u?
个
spanned by the columns of A? (See the figure.) Why or why
not?
u?
14. Let u = -3 and A =
3-5
-2 6 Is u in the plane R³
1
16. Repeat Exercise 15: A =
•u?
5
0
1 3 0
of R³ spanned by the columns of A? Why or why not?
2-1
[²] and b = [b]
3
Plane spanned by
the columns of A
15. Let A =
Show that the equation
Ax = b
does not have a solution for all possible b, and
describe the set of all b for which Ax=b does have a
solution.
8 7
1 -1 . Is u in the subset
1-3 -4
-3 2 6 ,b= b₂
5 -1 -8
b3
Exercises 17-20 refer to the matrices A and B below. Make
appropriate calculations that justify
your answers and mention an
appropriate theorem.
+
2
:
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