5. Let 1 -1 -2 0 1 1 A 1 6= 2 1 1 -2 4 -1 k (a) Find RREF of augumented matrix A : b. [4:6]. (b) Find k such that A = 6 is consistent. Then solve i in parametric vector form. (c) Find a basis and the dimension for Nul (A). (d) Find a basis and the dimension for Col (A). (e) Find rank (A) =?
5. Let 1 -1 -2 0 1 1 A 1 6= 2 1 1 -2 4 -1 k (a) Find RREF of augumented matrix A : b. [4:6]. (b) Find k such that A = 6 is consistent. Then solve i in parametric vector form. (c) Find a basis and the dimension for Nul (A). (d) Find a basis and the dimension for Col (A). (e) Find rank (A) =?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
Related questions
Question
![5. Let
1 -1 -2 0
1
A
1
2 -1
6= 2
1
1
-2 4 -1
k
(a) Find RREF of augumented matrix A :
(b) Find k such that A = b is consistent. Then solve i in parametric vector form.
(c) Find a basis and the dimension for Nul (A).
(d) Find a basis and the dimension for Col (A).
(e) Find rank (A) =?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee901e70-7bdb-4be0-86cb-fd0e377eb1bb%2Fddc2476b-6fa8-47cb-a867-d2fcb225408d%2Fhnksk74_processed.png&w=3840&q=75)
Transcribed Image Text:5. Let
1 -1 -2 0
1
A
1
2 -1
6= 2
1
1
-2 4 -1
k
(a) Find RREF of augumented matrix A :
(b) Find k such that A = b is consistent. Then solve i in parametric vector form.
(c) Find a basis and the dimension for Nul (A).
(d) Find a basis and the dimension for Col (A).
(e) Find rank (A) =?
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