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
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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) =?
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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